Publications
Books/Monographs
International Journal Articles 1. C. Shu and B. E., Richards (1992), 'Application of Generalized Differential Quadrature to Solve Two-Dimensional Incompressible Navier-Stokes equations', International Journal for Numerical Methods in Fluids, Vol. 15, 791-798. 2. C. Shu and B. E., Richards (1992), 'Parallel Simulation of Incompressible Viscous Flows by Generalized Differential Quadrature', Computing Systems in Engineering, Vol. 3, 271-281. 3. C. Shu, B.C. Khoo, K.S. Yeo (1994), 'Numerical Solutions of Incompressible Navier-Stokes Equations by Generalized Differential Quadrature', Finite Elements in Analysis and Design, Vol. 18, 83-97. 4. C. Shu, B.C. Khoo, K.S. Yeo and Y.T. Chew (1994), 'Application of GDQ Scheme to Simulate natural Convection in A Square Cavity', International Communications in heat and Mass Transfer, Vol. 21, 809-817. 5. C. Shu, Y.T. Chew and B.E. Richards (1995), 'Generalized Differential-Integral Quadrature and Their Application to Solve Boundary Layer Equation', International Journal for Numerical Methods in Fluids, Vol. 21, 723-733. 6. C. Shu, Y.T. Chew, B.C. Khoo and K.S. Yeo (1995), 'Application of GDQ Scheme to Simulate Incompressible Viscous Flows around Complex Geometries', Mechanics Research Communications, Vol. 22, 319-325. 7. C. Shu, Y.T. Chew, B.C. Khoo and K.S. Yeo (1996), 'Solutions of Three-Dimensional Boundary Layer Equations by Global Methods of Differential-Integral Quadrature', International Journal of Numerical methods for Heat and Fluid Flow, Vol. 6, 61-75. 8. C. Shu, B.C. Khoo, Y.T. Chew and K.S. Yeo (1996), 'Numerical Studies of Unsteady Boundary Layer Flows Past An Impulsively Started Circular Cylinder by GDQ and GIQ Approaches', Computer Methods in Applied Mechanics and Engineering, Vol. 135, 229-241. 9. C. Shu (1996), 'An Efficient Approach for Free Vibration Analysis of Conical Shells', International journal of mechanical Sciences, Vol. 38, 935-949. 10. C. Shu (1996), 'Free Vibration Analysis of Composite Laminated Conical Shells by Generalized Differential Quadrature', Journal of Sound and Vibration, Vol. 194, 587-604. 11. C. Shu, H. Du (1997), 'Free Vibration Analysis of Laminated Composite Cylindrical Shells by DQM', Composites Part B: Engineering, Vol. 28B, 267-274. 12. C. Shu, H. Du (1997), 'Implementation of Boundary Conditions in the GDQ Analysis of Free Vibration of Beams and Plates', International Journal of Solids and Structures, Vol. 34, 819-835. 13. C. Shu, H. Du (1997), 'A Generalized Approach for Implementing General Boundary Conditions in the GDQ Free Vibration Analysis of Plates', International Journal of Solids and Structures, Vol. 34, 837-846. 14. Y.C. Dong, M.S. Leong, P.S. Kooi, K.Y. Lam and C. Shu (1997), 'Computation of the Propagation Characteristics of the TE and TM Modes in Waveguides Using Generalized Quadrature Method', Microwave and Optical Technology Letters, Vol. 14, 39-44. 15. D. Xu, M.A. Lescheiner, B.C. Khoo and C. Shu (1997), 'Numerical Prediction of Separation and Reattachment of Turbulent Flow in Axisymmetric Diffuser', Computers and Fluids, Vol. 26, 417-423. 16. D. Xu, C. Shu and B.C. Khoo (1997), 'Numerical Simulation of Flows in Czochralski Crystal Growth by Second Order Upwind QUICK Scheme', Journal of Crystal Growth, Vol. 173, 123-131. 17. C. Shu and H. Xue (1997), 'Explicit Computation of Weighting Coefficients in the Harmonic Differential Quadrature', Journal of Sound and Vibration, Vol. 204, 549-555. 18. C. Shu and Y.T. Chew (1997), 'Fourier Expansion-Based Differential Quadrature and Its Application to Helmholtz Eigenvalue Problems', Communications in Numerical Methods in Engineering, Vol. 13, 643-653. 19. C. Shu, Y.T. Chew and Y. Liu (1997), 'An Efficient Approach for Numerical Simulation of Flows in Czochralski Crystal Growth', Journal of Crystal Growth, Vol. 181, 427-436. 20. C.T. Loy, K.Y. Lam and C. Shu (1997), 'Analysis of Cylindrical Shells Using Generalized Differential Quadrature', Shock and Vibration, Vol. 4, 193-198. 21. W. Chen, T.X. Zhong and C. Shu (1998), 'A Lyapunov Formulation for Efficient Solution of the Poisson and Convection-Diffusion Equations by the Differential Quadrature Method', Journal of Computational Physics, Vol. 141, 78-84. 22. C. Shu and Y.T. Chew (1998), 'On the Equivalence of Generalized Differential Quadrature and Highest Order Finite Difference Scheme', Computer Methods in Applied Mechanics and Engineering, Vol. 155, 249-260. 23. C. Shu, Y. T. Chew and Y. Liu (1998), 'Different Interface Approximations in Multi-domain GDQ Simulation of Czochralski Bulk Flows', International Journal of Numerical methods for Heat and Fluid Flow, Vol. 8, 424-444. 24. C. Shu, H. Xue (1998), 'Comparison of Two Approaches for Implementing Stream Function Boundary Conditions in DQ Simulation of Natural Convection in A Square Cavity', International Journal of Heat and Fluid Flow, Vol. 19, 59-68. 25. C. Shu, K.S. Yeo and Q. Yao (1998), 'On the Performance of Three Iterative Methods for Solution of GDQ Algebraic Equations', Computer Methods in Applied Mechanics and Engineering, Vol. 167, 1-15. 26. C. Shu and C.M. Wang (1999), 'Treatment of Mixed and Non-Uniform Boundary Conditions in GDQ Vibration Analysis of Rectangular Plates', Engineering Structures, Vol. 21, 125-134. 27. C Shu and H. Xue (1999), 'Solution of Helmholtz Equation by Differential Quadrature Method', Computer Methods in Applied Mechanics and Engineering, Vol. 175, 203-212. 28. C. Shu and W. Chen (1999), 'On Optimal Selection of Interior Points for Applying Discretized Boundary Conditions in Vibration Analysis of Beams and Plates', Journal of Sound and Vibration, Vol. 222, 239-257. 29. C. Shu and Y. T. Chew (1999), 'Application of Multi-domain GDQ Method to Analysis of Waveguides with Rectangular Boundaries', Journal of Electromagnetic Waves and Applications, Vol. 13, 223-224. 30. C. Shu (1999), 'Application of Differential Quadrature Method to Simulate Natural Convection in a Concentric Annulus', International Journal for Numerical Methods in Fluids, Vol. 30, 977-933. 31. H. Xue and C. Shu (1999), 'Mixing Characteristics in A Ventilated Room with a Non-isothermal Ceiling air Supply', Building and Environment, Vol. 34, 245-251. 32. H. Xue and C. Shu (1999), 'Equilibration of Heat Conduction Simulation in a Very Thin Film Using Molecular Dynamics' , International Journal of Numerical methods for Heat and Fluid Flow, Vol. 9, 60-71. 33. W. Chen, C. Shu, W. He T. X. Zhong (2000), 'The Application of Special Matrix Product to Differential Quadrature Solution of Geometrically Nonlinear Bending Orthotropic Rectangular plates', Computers and Structures, Vol. 74, 65-76. 34. H. Xue, Q. Fan and C. Shu (2000), 'Prediction of Microchannel Flow Using Direct Simulation Monte Carlo', Probabilistic Engineering Mechanics, Vol. 15, 213-219. 35. C. Shu, (2000), 'Analysis of Elliptical Waveguides by Differential Quadrature Method', IEEE Transactions on Microwave theory and Techniques, Vol. 48, 319-322. 36. C. Shu, W. Chen, H. Du (2000), 'Free Vibration Analysis of Curvilinear Quadrilateral Plates by the Differential Quadrature Method', Journal of Computational Physics, Vol. 163, 452-466. 37. C. Shu, K.S.Yeo and Q. Yao (2000), 'An Efficient Approach to Simulate Natural Convection in Arbitrarily Eccentric Annuli by Vorticity-Stream Function Formulation', Numerical Heat Transfer, Part A, Vol. 38, 739-756. 38. T. S. Lee, J. K. Wu and C. Shu (2000), 'Wave Equation Model for Ship Waves in Bounded Shallow Water', Journal of Hydrodynamics, Vol. 12, 109-119. 39. C. Shu, H. Xue and Y. .D. Zhu (2001), 'Numerical Study of Natural Convection in an Eccentric Annulus Between A Square Outer Cylinder and A Circular Inner Cylinder Using DQ Method', International Journal of Heat and Mass Transfer, Vol. 44, 3321-3333. 40. C. Shu, W. Chen, H. Xue and H. Du (2001), 'Numerical Study of Grid Distribution Effect on Accuracy of DQ Analysis of Beams and Plates by Error Estimation of Derivative Approximation', International Journal for Numerical Methods in Engineering, Vol. 51, 159-179. 41. J. K. Wu, T. S. Lee and C. Shu (2001), 'Numerical Study of Wave Interaction Generated by Two Ships Moving Parallely in Shallow Water', Computer Methods in Applied Mechanics and Engineering, Vol. 190, 2099-2110. 42. H. Xue, H. M. Ji and C. Shu (2001), 'Analysis of Micro-Couette Flow Using the Burnett Equations', International Journal of Heat and Mass Transfer, Vol. 44, 4139-4146. 43. C. Shu, L.F. Fan (2001), 'A New Discretization Method and Its Application to Solve Incompressible Navier-Stokes Equations', Computational Mechanics, Vol. 27, 292-301. 44. C. Shu, Y. T. Chew, X. D. Niu (2001), 'Least-Squares-based Lattice Boltzmann Method: A Meshless Approach for Simulation of Flows with Complex Geometry', Physical Review E, Vol. 64, 045701. 45. C. Shu and K.H.A. Wee (2002), 'Numerical Simulation of Natural Convection in A Square Cavity by SIMPLE-GDQ Method', Computers & Fluids, Vol. 31, 209-226. 46. C. Shu, Q. Yao, K.S. Yeo and Y. D. Zhu (2002), 'Numerical Analysis of Flow and Thermal Fields in Arbitrary Eccentric Annulus by Differential Quadrature Method', Heat and Mass Trnasfer, Vol. 38, 597-608. 47. C. Shu and Y. D., Zhu (2002), 'Efficient Computation of Natural Convection in A Concentric Annulus between an Outer Square Cylinder and an Inner Circular Cylinder', International Journal for Numerical Methods in Fluids, Vol. 38, 429-445. 48. C. Shu and Y. L. Wu (2002), 'Domain-free Discretization Method for Doubly Connected Domain and Its Application to Simulate Natural Convection in Eccentric Annuli', Computer Methods in Applied Mechanics and Engineering, Vol. 191, 1827-1841. 49. C. Shu, X. D. Niu and Y. T. Chew (2002), 'Taylor-series Expansion and Least Squares-based Lattice Boltzmann Method: Two-Dimensional Formulation and Its Applications', Physical Review E, Vol. 65, 036708. 50. Y. T. Chew, C. Shu, Y. Peng (2002), 'On Implementation of Boundary Conditions in the Application of Finite Volume Lattice Boltzmann Method', Journal of Statistical Physics, Vol. 107, 539-556. 51. Y. T. Chew, C. Shu, X. D. Niu (2002), 'A New Differential Lattice Boltzmann Equation and Its Application to Simulate Incompressible Flows on Non-Uniform Grids', Journal of Statistical Physics, Vol. 107, 329-342. 52. T. S. Lee, G. S. Hu and C. Shu (2002), 'Application of GDQ Method for the Study of Natural Convection in Horizontal Eccentric Annuli', Numerical Heat Transfer, Part A, Vol. 41, 803-815. 53. C. Y. Lim, C. Shu, X. D. Niu and Y. T. Chew (2002), 'Application of Lattice Boltzmann Method to Simulate Microchannel Flows', Physics of Fluids, Vol. 14, 2299-2308. 54. Y. T. Chew, C. Shu, X. D. Niu (2002), 'Simulation of Unsteady Incompressible Flows by Using Taylor Series Expansion- and Least Square-based Lattice Boltzmann Method', International Journal of Modern Physics C, Vol. 13, 719-738. 55. J. M. Wan, T. S. Lee, C. Shu and J. K. Wu (2002), 'A Numerical Study of Cavitation Foot-prints in Liquid-lubricated Asymmetrical Herringbone Grooved Journal Bearings', International Journal of Numerical Methods for Heat & Fluid Flow, Vol. 12, 518-540. 56. C. Shu, Q. Yao and K. S. Yeo (2002), 'Block-Marching In Time With DQ Discretization: An Efficient Method For Time-Dependent Problems', Computer Methods in Applied Mechanics and Engineering, Vol. 191, 4587-4597. 57. W. M. Yang, S. K. Chou, C. Shu, Z. W. Li, H. Xue (2002), 'Combustion in Micro-cylindrical Combustors with and without A Backward Facing Step', Applied Thermal Engineering, Vol. 22, 1777-1787. 58. W. M. Yang, S. K. Chou, C. Shu, Z. W. Li, H. Xue (2002), 'Development of Microthermophotovoltaic System', Applied Physics Letters, Vol. 81, 5255-5257. 59. Y. L. Wu and C. Shu (2002), 'Development of RBF-DQ Method for Derivative Approximation and Its Application to Simulate Natural Convection in Concentric Annuli', Computational Mechanics, Vol. 29, 477-485. 60. C. Shu, H. Ding, K. S. Yeo (2003), 'Local Radial Basis Function-based Differential Quadrature Method and Its Application to Solve Two-dimensional Incompressible Navier-Stokes Equations', Computer Methods in Applied Mechanics and Engineering, Vol. 192, 941-954. 61. X. D. Niu, C. Shu and Y. T. Chew (2003), 'Simulation of Thermal Flows by Taylor Series Expansion- and Least Square-based Lattice Boltzmann Method Coupling with Macroscopic Thermal Equation', International Journal of Modern Physics B, Vol. 17, 161-164. 62. Y. Peng, C. Shu and Y. T. Chew (2003), 'Simulation of Natural Convection by Taylor Series Expansion- and Least Square-based LBM', International Journal of Modern Physics B, Vol. 17, 165-168. 63. C. Shu, L. Wang and Y. T. Chew (2004), 'Comparative Studies of Three Approaches for GDQ Computation of Incompressible Navier-Stokes Equations in Primitive Variable Form', International Journal of Computational Fluid Dynamics, 18, 401-412. 64. Y. Peng, C. Shu, Y. T. Chew (2003), 'Simplified thermal lattice Boltzmann model for incompressible thermal flows', Physical Review E, Vol. 68, 026701. 65. C. Shu, Y. Peng and Y. T. Chew (2002), 'Simulation of Natural Convection in a Square Cavity by Taylor Series Expansion- and Least Square-Based Lattice Boltzmann Method', International Journal of Modern Physics C, 13, 1399-1414. 66. Y. Peng, C. Shu, Y. T. Chew and J. Qiu (2003), 'Numerical Investigation of Flows in Czochralski Crystal Growth by an Axisymmetric Lattice Boltzmann Method', Journal of Computational Physics, 186, 295-307. 67. Y. Peng, C. Shu and Y. T. Chew (2003), 'Simulation of Czochralski Crystal Growth by Using Lattice Boltzmann Method', Materials Science Forum, 437-438, 355-358. 68. X. D. Niu, C. Shu and Y. T. Chew (2003), 'An Axisymmetric Lattice Boltzmann Model for Simulation of Taylor-Couette Flows between Two Concentric Cylinders', International Journal of Modern Physics C, Vol. 14, 785-796. 69. X. H. Mao, C. Shu, Y. T. Chew (2003), 'Numerical and Theoretical Study of a Micro Tube Flow', International Journal of Nonlinear Science and Numerical Simulation, 4, 187-200. 70. C. Shu, L. Wang and Y. T. Chew (2003), 'Numerical Computation of Three Dimensional Incompressible Navier-Stokes Equations in Primitive Variable Form by DQ Method', International Journal for Numerical Methods in Fluids, 43, 345-368. 71. T. S. Lee, G. S. Hu and C. Shu (2004), 'Application of GDQ Method for Study of Mixed Convection in Horizontal Eccentric Annuli', International Journal of Computational Fluid Dynamics, 18, 71-79.. 72. C. Shu, X. D. Niu and Y. T. Chew (2003), 'Taylor Series Expansion and Least Squares-based Lattice Boltzmann Method: Three-dimensional Formulation and Its Applications', International Journal of Modern Physics C, 14, 925-944. 73. X. D. Niu, Y. T. Chew and C. Shu (2003), 'Simulation of Flows around an Impulsively Started Circular Cylinder by Taylor Series Expansion- and Least Squares-based Lattice Boltzmann Method', Journal of Computational Physics, 188, 176-193. 74. H. Ding, C. Shu, K. S. Yeo and D. Xu (2004), 'Development of Least Square-based Two-dimensional Finite Difference Schemes and Their Application to Simulate Natural Convection in A Cavity', Computers & Fluids, 33, 137-154. 75. Y. L. Wu, C. Shu, J. Qiu and J. Tani (2003), 'Implementation of Multi-Grid Approach in Domain-free Discretization Method to Speed Up Convergence', Computer Methods in Applied Mechanics and Engineering, 192, 20-21, 2425-2438. 76. Y. Peng, Y. T. Chew and C. Shu (2003), 'Numerical simulation of natural convection in a concentric annulus between a square outer cylinder and a circular inner cylinder using the Taylor series expansion- and least square-based lattice Boltzmann method', Physical Review E, Vol. 67, 026701. 77. H. Xue, H. M. Ji and C. Shu (2003), 'Prediction of flow and heat transfer characteristics in micro-couette flow', Microscale Thermophysical Engineering, 7, 51-68. 78. W. M. Yang, S. K. Chou, C. Shu, H. Xue, Z. W. Li, D. T. Li and J. F. Pan (2003), 'Microscale combustion research for application to micro thermophotovoltaic systems', Energy Conversion and Management, 44, 2625-2634. 79. W. M. Yang, S. K. Chou, C. Shu, Z. W. Li and H. Xue (2003), 'Research on micro thermophotovoltaic power generators', Solar Energy Materials & Solar Cells, 80, 95-104. 80. Y. Peng, C. Shu and Y. T. Chew (2003), 'A Three-dimensional incompressible thermal lattice Boltzmann model and its application to simulate natural convection in a cubic cavity', Journal of Computational Physics, 193, 260-274. 81. Y. D. Zhu,C. Shu, J. Qiu and J. Tani (2004), 'Numerical simulation of natural convection between two elliptical cylinders using DQ method', International Journal of Heat & Mass Transfer, 47, 797-808. 82. C. Shu, H. Ding and K. S. Yeo (2004), 'Solution of partial differential equations by a global radial basis function-based differential quadrature method', Engineering Analysis with Boundary Elements, 28, 1217-1226. 83. H. Ding, C. Shu, K. S. Yeo and D. Xu (2004), 'Simulation of incompressible viscous flows past a circular cylinder by hybrid FD scheme and meshless least square-based finite difference method', Computer Methods in Applied Mechanics and Engineering, 193, 727-744. 84. Y. Peng, C. Shu, Y. T. Chew and T. Inamuro (2004), 'A lattice kinetic scheme for the incompressible viscous thermal flows on arbitrary meshes', Physical Review E, 69, (1) 016703. 85. Y. L. Wu, C. Shu, H. Q. Chen and N. Zhao (2004), 'Radial basis function-enhanced domain-free discretization method and its application', Numerical Heat Transfer, 46, 269-282. 86. J. K. Wu, A. F. Li, T. S. Lee, C. Shu, J. M. Wan (2004), 'Operator-splitting method for the analysis of cavitation in liquid-lubricated herringbone grooved journal bearings', International Journal for Numerical Methods in Fluids, 43, 765-775. 87. W. M. Yang, S. K. Chou, C. Shu, Z. W. Li and H. Xue (2004), 'Develoment of a prototype micro-thermophotovoltaic power generator', Journal of Physics D -Applied Physics, 37, 1017-1020. 88. W. M. Yang, S. K. Chou, C. Shu, Z. W. Li and H. Xue (2004), 'A prototype microthermophotovoltaic power generator', Applied Physics Letters, 84, 3864-3866. 89. W. M. Yang, S. K. Chou, C. Shu, Z. W. Li and H. Xue (2004), 'Design, fabrication and testing of a prototype microthermophotovoltaic system', Journal of Microelectromechanical Systems, 13, 851-856. 90. H. Xue, W. M. Yang, S. K. Chou, C. Shu and Z. W. Li (2005), 'Micro thermophotovoltaic power system for portable MEMS devices', Microscale Thermophysical Engineering, 9, 85-97. 91. Z. W. Li, S. K. Chou, C. Shu, W. M. Yang and H. Xue (2004), 'Predicting the temperature of a premixed flame in a microcombustor', Journal of Applied Physics, 96, 3524-3530. 92. Z. W. Li, S. K. Chou, C. Shu, H. Xue and W. M. Yang (2005), 'Characteristics of premixed flame in microcombustors with different diameters', Applied Thermal Engineering, 25, 271-281. 93. C. Shu, L. Wang, Y. T. Chew and N. Zhao (2004), 'Numerical study of eccentric Couette-Taylor flows and effect of eccentricity on flow patterns', Theoretical and Computational Fluid Dynamics, 18, 43-59. 94. Y. Peng, C. Shu, Y. T. Chew and H. W. Zheng (2004), 'New lattice kinetic schemes for incompressible viscous flows', International Journal of Modern Physics C, 15, 1197-1213. 95. C. Shu, H. Ding, H. Q. Chen and T. G. Wang (2005), 'An upwind local RBF-DQ method for simulation of inviscid compressible flows', Computer Methods in Applied Mechanics and Engineering, 194, 2001-2017. 96. X. D. Niu, C. Shu, Y. T. Chew and T. G. Wang (2004), 'Investigation of stability and hydrodynamics of different lattice Boltzmann models', Journal of Statistical Physics, 117, 665-680. 97. X. D. Niu, C. Shu and Y. T. Chew (2004), 'A lattice Boltzmann BGK model for simulation of micro flows', Europhysics Letters, 67, 600-606. 98. C. Shu, X. D. Niu, Y. Peng and Y. T. Chew (2005), 'Taylor series expansion- and least square-based lattice Boltzmann method: an efficient approach for simulation of incompressible viscous flows', Progress in computational fluid dynamics, an international journal, 5, 27-36. 99. C. Shu, H. Ding and K. S. Yeo (2005), 'Computation of incompressible Navier-Stokes equations by local RBF-based differential quadrature method', CMES-Computer Modeling in Engineering and Sciences, 7, 195-205. 100. H. W. Zheng, C. Shu, Y. T. Chew and J. Qiu (2005), 'A platform for developing new lattice Boltzmann models', International Journal of Modern Physics C, 16, 61-84. 101. W. H. Li, H. Du, D. F. Chen and C. Shu (2004), 'Analysis of dielectrophoretic electrode arrays for nanoparticle manipulation', Computational Materials Science, 30, 320-325. 102. W. M. Yang, S. K. Chou, C. Shu, H. Xue and Z W Li (2003), 'Power generation at the micro scale', International Journal of Computational Engineering Sciences (IJCES), 4, 481-484. 103. Z. W. Li, S. K. Chou, C. Shu and W. M. Yang (2005), 'Effects of step height on wall temperature of a microcombustor', Journal of Micromechanics & Microengineering, 15, 207-212. 104. W. M. Yang, S. K. Chou, C. Shu, H. Xue and Z. W. Li (2005), 'Effect of wall thickness of micro-combustor on the performance of micro-thermophotovoltaic power generators', Sensors and Actuators A: Physical, 119, 441-445. 105. C. Shu, X. H. Mao and Y. T. Chew (2005), 'Particle Number per cell and scaling factor effect on accuracy of DSMC simulation of micro flows', International Journal of Numerical methods for Heat and Fluid Flow, 15, 827-841.. 106. H. Q. Chen and C. Shu (2005), 'An Efficient Implicit Mesh-free Method to Solve Two-dimensional Compressible Euler Equations', International Journal of Modern Physics C, 16, 439-454. 107. H. Ding, C. Shu and D. B. Tang (2005), 'Error Estimates of Local Multiquadric-based Differential Quadrature (LMQDQ) Method through Numerical Experiments', International Journal for Numerical Methods in Engineering, 63, 1513-1529. 108. H. Ding, C. Shu, K. S. Yeo and D. Xu (2006), 'Numerical Computation of Three-dimensional Incompressible Viscous Flows in the Primitive Variable Form by Local Multiquadric Differential Quadrature Method', Computer Methods in Applied Mechanics and Engineering, 195, 516-533. 109. C. Shu, W. X. Wu, H. Ding and C. M. Wang (2007), 'Free Vibration Analysis of Plates Using Least Square-based Finite Difference Method', Computer Methods in Applied Mechanics and Engineering, 196, 1330-1343. 110. Z. W. Li, S. K. Chou, C. Shu and W. M. Yang (2005), 'Entropy Generation in Microcombustion', Journal of Applied Physics, 97, 084914. 111. H. Ding, C. Shu, K. S. Yeo and Z. L. Lu (2005), 'Simulation of Natural Convection in Eccentric Annuli Between A Square Outer Cylinder and a Circular Inner Cylinder Using Local MQ-DQ Method', Numerical Heat Transfer Part A -Applications, 47, 291-313. 112. H. M. Xia, S. Y. M. Wan, C. Shu and Y. T. Chew (2005), 'Chaotic micromixers using two-layer crossing channels to exhibit fast mixing at low Reynolds numbers', LAB ON A CHIP, 5, 748-755. 113. T. S. Lee, H. B. Huang and C. Shu (2005), 'An axisymmetric incompressible Lattice-BGK model for simulation of the pulsatile flow in a circular pipe', International Journal for Numerical Methods in Fluids, 49, 99-116. 114. D. F. Chen, H. Du, W. H. Li and C. Shu (2005), 'Numerical modeling of dielectrophoresis using a meshless approach', Journal of Micromechanics & Microengineering, 15, 1040-1048. 115. H. B. Huang, T. S. Lee and C. Shu (2006), 'Lattice-BGK simulation of steady flow through vascular tubes with double constrictions', International Journal of Numerical Methods for Heat & Fluid Flow, 16, 185-203. 116. C. Shu, H. Ding and N. Zhao (2006), 'Numerical Comparison of Least Square-based Finite Difference (LSFD) and Radial Basis Function-based Finite Difference (RBFFD) Methods', Computers and Mathematics with Applications, 51, 1297-1310. 117. C. Shu, W. X. Wu and C. M. Wang (2005), 'Analysis of Metallic Waveguides by Using Least Square-Based Finite Difference Method', CMC: Computers, Materials & Continua, 2, 189-200. 118. C. Shu, K. Qu, X. D. Niu and Y. T. Chew (2005), 'Numerical Simulation of Flows Past a Rotational Circular Cylinder by Taylor-Series-Expansion and Least-Squares-Based Lattice Boltzmann Method', International Journal of Modern Physics C, 16, 1753-1770. 119. X. D. Niu, C. Shu and Y. T. Chew (2005), 'Numerical Simulation of Isothermal Micro Flows by Lattice Boltzmann Method and Theoretical Analysis of the Diffusive Scattering Boundary Condition', International Journal of Modern Physics C, 16, 1927-1941. 120. C. Shu, X. D. Niu and Y. T. Chew (2005), 'A Lattice Boltzmann Kinetic Model for Microflow and Heat Transfer', Journal of Statistical Physics, 121, 239-255. 121. H. M. Xia, C. Shu, S. Y. M. Wan and Y. T. Chew (2005), 'Numerical and Experimental Observation of Chaotic Mixing in Microfluidic Mixer', Journal of Visualization, 8, 291-291. 122. H. W. Zheng, C. Shu and Y. T. Chew (2005), 'Lattice Boltzmann Interface Capturing Method for Incompressible Flows', Physical Review E, 72, 056705. 123. H. Ding and C. Shu (2006), 'A Stencil Adaptive Algorithm for Finite Difference Solution of Incompressible Viscous Flows', Journal of Computational Physics, 214, 397-420. 124. H. M. Xia, C. Shu, S. Y. M. Wan and Y. T. Chew (2006), 'Influence of Reynolds Number on Chaotic Mixing in Spatially Periodic Micromixer and Its Characterization Using Dynamical System Techniques', Journal of Micromechanics and Microengineering, 16, 53-61. 125. X. D. Niu, C. Shu and Y. T. Chew (2007), 'A Thermal Lattice Boltzmann Model with Diffuse Scattering Boundary Condition for Micro Thermal Flows', Computers & Fluids, 36, 273-281. 126. C. Shu and Y. L. Wu (2006), 'Adaptive Mesh Refinement-enhanced Local DFD Method and Its Application to Solve Navier- Stokes Equations', International Journal for Numerical Methods in Fluids, 51, 897-912. 127. T. S. Lee, H. Huang and C. Shu (2006), 'An Axisymmetric Incompressible Lattice Boltzmann Model for Pipe Flow', International Journal of Modern Physics C, 17, 645-661. 128. W. M. Yang, S. K. Chou, C. Shu, H. Xue and Z. W. Li (2005), 'Research on micro-thermophotovoltaic power generators with different emitting materials', Journal of Micromechanics and Microengineering, 15, S239-S242. 129. Y. T. Chew, X. D. Niu and C. Shu (2006), 'Three-dimensional Lattice Boltzmann BGK Model and Its Application to Flows with Heat Transfer in A Rectangular Microchannel', International Journal for Numerical Methods in Fluids, 50, 1321-1334. 130. H. Huang, T.S. Lee, C. Shu (2006), 'Thermal curved boundary treatment for the thermal lattice Boltzmann equation', Int. J. Mod. Phys. C., 17, 631-643. 131. W. M. Yang, S. K. Chou, C. Shu, Z. W. Li and H. Xue (2005), 'Study of Catalytic Combustion and Its Effect on Microthermophotovoltaic Power Generators', Journal of Physics D -Applied Physics, 38, 4252-4255. 132. H. Ding H and C. Shu (2005), 'Adaptive Solution of Flow Past Two Side-by-Side Circular Cylinders', Modern Physics Letters B, 19, 1459-1462. 133. Y. T. Chew, H. M. Xia, C. Shu and S. Y. M. Wan (2005), 'Techniques to Enhance Fluid Micro-mixing and Chaotic Micromixers', Modern Physics Letters B, 19, 1567-1570. 134. H. J. Du, Q. A. Li, J. H. Ong and C. Shu (2005), 'A Newton-multigrid Method for Numerical Simulation of Slider Air Bearing', Modern Physics Letters B, 19, 1647-1650. 135. H. J. Du, D. F. Chen, W. H. Li and C. Shu (2005), 'Numerical Solution of Traveling Wave Dielectrophoresis using A Meshless Finite Difference Scheme', Modern Physics Letters B, 19, 1739-1742. 136. X. Q. Zhao, D. B. Tang and C. Shu (2005), 'An Efficient Method for Finding the Exact Solution of Nonlinear Evolution Equations', Modern Physics Letters B, 19, 1703-1706. 137. X. D. Niu, C. Shu, Y. T. Chew and Y. Peng (2006), 'A Momentum Exchange-based Immersed Boundary-Lattice Boltzmann Method for Simulating Incompressible Viscous Flows', Physics Letters A, 354, 173-182. 138. C. Shu, Y. Peng, C. F. Zhou and Y. T. Chew (2006), 'Application of Taylor Series Expansion and Least Squares-based LBM to Simulate Turbulent Flows', Journal of Turbulence, 7 (38), 1-12. 139. Y. Peng, C. Shu, Y. T. Chew, X. D. Niu and X. Y. Lu (2006), 'Application of Multi-block Approach in the Immersed Boundary-Lattice Boltzmann Method for Viscous Fluid Flows', Journal of Computational Physics, 218, 460-478. 140. H. W. Zheng, C. Shu and Y. T. Chew (2006), 'A Lattice Boltzmann Model for Multiphase Flows with Large Density Ratio', Journal of Computational Physics, 218, 353-371. 141. C. S. Chew, K. S. Yeo and C. Shu (2006), 'A Generalized Finite Difference (GFD) ALE Scheme for Incompressible Flows around Moving Solid Bodies on Hybrid Meshfree-Cartesian Grids', Journal of Computational Physics, 218, 510-548. 142. Z. Zhang, P. Wu, L. Lu and C. Shu (2006), 'Study on vacancy formation in ferroelectric PbTiO3 from ab initio', Applied Physics Letters, 88, 142902. 143. H. Huang, T. S. Lee, C. Shu (2007), 'Lattice Boltzmann Simulation of Gas Slip Flow in Long Microtubes', Int. J. Numer. Meth. for Heat & Fluid Flow, 17, 587-607. 144. C. H. Zhou, C. Shu and Y. Z. Wu (2007), 'Extension of Domain-Free Discretization Method to Simulate Compressible Flows over Fixed and Moving Bodies', International Journal for Numerical Methods in Fluids, 53, 175-199. 145. H. Ding, C. Shu, K. S. Yeo and D. Xu (2007), 'Numerical Simulation of Flows around Two Circular Cylinders By Mesh-free Least Square-based Finite Difference Methods', International Journal for Numerical Methods in Fluids, 53, 305-332. 146. W. X. Wu, C. Shu and C. M. Wang (2006), 'Computation of Modal Stress Resultants for Completely Free Vibrating Plates by LSFD Method', Journal of Sound and Vibration, 297, 704-726. 147. Y. Peng, C. Shu and Y. T. Chew (2007), 'Three-dimensional Lattice Kinetic Scheme and Its Application to Simulate Incompressible Viscous Thermal Flows', Communications in Computational Physics, 2, 239-254. 148. C. Shu, X. D. Niu, Y. T. Chew and Q. D. Cai (2006), 'A Fractional Step Lattice Boltzmann Method for Simulating High Reynolds Number Flows', Mathematics and Computers in Simulation, 72, 201-205. 149. H. Ding, C. Shu and Q. D. Cai (2007), 'Applications of Stencil-Adaptive Finite Difference Method to Incompressible Viscous Flows with Curved Boundary', Computers & Fluids, 36, 786-793. 150. C. Shu and Y. L. Wu (2007), 'Integrated Radial Basis Functions-based Differential Quadrature Method and Its Performance', International Journal for Numerical Methods in Fluids, 53, 969-984. 151. Z. Zhang, L. Lu, C. Shu and P. Wu (2006), 'Computational Investigation of B-site Donor Doping Effect on Fatigue Behavior of Lead Zirconate Titanate', Applied Physics Letters, 89, 152909. 152. Z. Zhang, P. Wu, L. Lu and C. Shu (2008), 'ab-initio Study of Formations of Neutral Vacancies in Ferroelectric PbTiO3 at Different Oxygen Atmospheres', Journal of Alloys and Compounds, 449, 362-365. 153. H. B. Huang, T. S. Lee and C. Shu (2007), 'Hybrid Lattice Boltzmann Finite Difference Simulation of Axisymmetric Swirling and Rotating Flows', International Journal for Numerical Methods in Fluids, 53 (11), 1707-1726. 154. C. M. Wang, W. X. Wu, C. Shu and T. Utsunomiya (2006), 'LSFD method for accurate vibration modes and modal stress-resultants of freely vibrating plates that model VLFS', Computers & Structures, 84, 2329-2339. 155. H. Xue, W. M. Yang, S. K. Chou, C. Shu and Z. W. Li (2006), 'Catalytic effect of microcombustion in microthermophotovoltaic system', Nanoscale and Microscale Thermophysical Engineering, 10, 275-282. 156. C. Shu, Y. Y. Shan and N. Qin (2007), 'Development of a local MQ-DQ based stencil adaptive method and its application to solve incompressible Navier-Stokes equations', International Journal for Numerical Methods in Fluids, 55, 367-386. 157. K. Qu, C. Shu and Y. T. Chew (2007), 'Alternative method to construct equilibrium distribution functions in lattice-Boltzmann method simulation of inviscid compressible flows at high Mach number', Physical Review E, 75 (3), 036706. 158. W. M. Yang, S. K. Chou, C. Shu, Z. W. Li and H. Xue (2007), 'Experimental study of micro-thermophotovoltaic systems with different combustor configurations', Energy Conversion and Management, 48, 1238-1244. 159. W. M. Yang, S. K. Chou and C. Shu (2007), 'Effect of current-collector structure on performance of passive micro direct methanol fuel cell', Journal of Power Sources, 164 (2): 549-554. 160. H. W. Zheng, C. Shu, Y. T. Chew and J. H. Sun (2008), 'Three-dimensional Lattice Boltzmann Interface Capturing Method for Incompressible Flows', International Journal for Numerical Methods in Fluids, 56, 1653-1671. 161. C. Shu, N. Y. Liu and Y. T. Chew (2007), 'A Novel Immersed Boundary Velocity Correction-Lattice Boltzmann Method and Its Application to Simulate Flow past a Circular Cylinder', Journal of Computational Physics, 226, 1607-1622. 162. W. X. Wu, C. Shu and C. M. Wang (2007), 'Vibration Analysis of Arbitrarily Shaped Membranes Using Local Radial Basis Function-Based Differential Quadrature Method', Journal of Sound and Vibration, 306, 252-270. 163. K. Qu, C. Shu and Y. T. Chew (2007), 'Simulation of shock-wave propagation with finite volume lattice Boltzmann method', International Journal of Modern Physics C, Vol. 18, No. 4, 447-454. 164. J. J. Huang, C. Shu, Y. T. Chew and H. W. Zheng (2007), 'Numerical Study of 2D Multiphase Flows over Grooved Surface by Lattice Boltzmann Method', International Journal of Modern Physics C, Vol. 18, No. 4, 492-500. 165. C. Shu, N. Y. Liu, Y. T. Chew and Z. L. Lu (2007), 'Numerical Simulation of Fish Motion by Using Lattice Boltzmann-Immersed Boundary Velocity Correction Method', Journal of Mechanical Science and Technology, 21, 1352-1358. 166. H. Ding, P. D. M. Spelt and C. Shu (2007), 'Diffuse Interface Model for Incompressible Two-Phase Flows with Large Density Ratios', Journal of Computational Physics, 226, 2078-2095. 167. W. X. Wu, C. Shu and C. M. Wang (2008), 'Mesh-free least squares-based finite difference method for large-amplitude free vibration analysis of arbitrarily shaped thin plates', Journal of Sound and Vibration, 317, 955-974. 168. H. W. Zheng, C. Shu and Y. T. Chew (2008), 'An object-oriented and quadrilateral-mesh based solution adaptive algorithm for compressible multi-fluid flows', Journal of Computational Physics, 227, 6895-6921. 169. Y. Y. Shan, C. Shu and Z. L. Lu (2008), 'Application of local MQ-DQ method to solve 3D incompressible viscous flows with curved boundary', CMES-Computer Modeling in Engineering & Sciences, 25, 99-113. 170. Z. Zhang, L. Lu, C. Shu, P. Wu and W. D. Song (2007), 'Ferroelectrical properties of W-doped lead zirconate titanate', Journal of Applied Physics, 102, 074119. 171. Z. Zhang, P. Wu, K. P. Ong, L. Lu and C. Shu (2007), 'Electronic Properties of A-site Substituted Lead Zirconate Titanate: Density Functional Calculations', Physical Review B, 76, 125102-125107. 172. Z. Zhang, P. Wu, L. Lu and C. Shu (2008), 'Defect and electronic structures of acceptor substituted lead titanate', Applied Physics Letters, 92,112909-1-112909-3. 173. Z. Zhang, S. Wang, W. D. Song, L. Lu, C. Shu and P. Wu (2008), 'Comparative study of effects of Mo and W dopants on the ferroelectric property of Pb(Zr0.3Ti0.7) thin films', Journal of Physics D-Applied Physics, 41, 135402. 174. J. J. Huang, C. Shu and Y. T. Chew (2008), 'Numerical Investigation of Transporting Droplets by Spatiotemporally Controlling Substrate Wettability', Journal of Colloid and Interface Science, 328, 124-133. 175. J. J. Huang, C. Shu and Y. T. Chew (2009), 'Mobility-dependent bifurcations in capillarity-driven two-phase fluid systems by using a lattice Boltzmann phase-field model', International Journal for Numerical Methods in Fluids, 60, 203-225. 176. S. J. Ang, K. S. Yeo, C. S. Chew and C. Shu (2008), 'A singular-value decomposition (SVD)-based generalized finite difference method for close-interaction moving boundary problems', International Journal for Numerical Methods in Engineering, 76, 1892-1929. 177. Y. L. Wu and C. Shu (2008), 'Application of Local DFD Method to Simulate Unsteady Flows around an Oscillating Circular Cylinder', International Journal for Numerical Methods in Fluids, 58, 1223-1236. 178. C. Shu and J. Wu (2009), 'A New Immersed Boundary-Lattice Boltzmann Method and Its Application to Incompressible Flows', Modern Physics Letters B, 23, 261-264. 179. L. Ding, C. Shu and N. Zhao (2009), 'Numerical Simulation of Dam Break by Adaptive Stencil Diffuse Interface Method', Modern Physics Letters B, 23, 293-296. 180. C. Z. Ji, C. Shu and N. Zhao (2009), 'A Lattice Boltzmann Method-Based Flux Solver and Its Application to Solve Shock Tube Problem', Modern Physics Letters B, 23, 313-316. 181. Q. Li, C. Shu and H. Q. Chen (2009), 'Simulation of Incompressible Viscous Flows by Boundary Condition-Implemented Immersed Boundary Method', Modern Physics Letters B, 23, 345-348. 182. J. J. Huang, C. Shu and Y. T. Chew (2009), 'Lattice Boltzmann Study of Droplet Motion Inside A Grooved Channel', Physics of Fluids, 21, 022103. 183. J. Wu and C. Shu (2009), 'Implicit Velocity Correction-Based Immersed Boundary-Lattice Boltzmann Method and Its Applications', Journal of Computational Physics, 228, 1963-1979. 184. C. H. Zhou and C. Shu, 'A Local Domain-Free Discretization Method to Simulate Three-Dimensional Compressible Inviscid Flows', International Journal for Numerical Methods in Fluids, in press. 185. J. Wu, C. Shu and Y. H. Zhang, 'Simulation of Incompressible Viscous Flows Around Moving Objects by A Variant of Immersed Boundary-Lattice Boltzmann Method', International Journal for Numerical Methods in Fluids, in press. 186. H. Joshi, A. Agarwal, B. Puranik, C. Shu and A. Agrawal, 'A Hybrid FVM-LBM Method for Single And Multi-Fluid Compressible Flow Problems', International Journal for Numerical Methods in Fluids, in press. 187. H. B. Huang, H. W. Zheng, X. Y. Lu and C. Shu, 'An Evaluation of A 3D Free-Energy-Based Lattice Boltzmann Model for Multiphase Flows with Large Density Ratio', International Journal for Numerical Methods in Fluids, in press. 188. J. Wu and C. Shu, 'Particulate Flow Simulation Via A Boundary Condition-enforced Immersed Boundary-Lattice Boltzmann Scheme', Communications in Computational Physics (CiCP), in press. 189. Y. Y. Shan, C. Shu and N. Qin, 'Multiquadric Finite Difference (MQ-FD) Method and Its Application', Advances in Applied Mathematics and Mechanics, in press.
|
|