Journal Papers

2000 - present

Moujin Zhang, S.-T. John Yu, S.-C. Henry Lin, S.-C. Chang, and Isaiah Blankson, "Solving the MHD Equations by the Space-Time Conservation Element and Solution Element Method", Journal of Computational Physics, Volume 214, Issue 2, 20 May 2006, Pages 599-617. (PDF).
Bao Wang, Hao He, and S.-T. John Yu, "Direct Calculation of Wave Implosion for Detonation Initiation", AIAA Journal, Vol. 43, No.10, Oct. 2005, pages 2157-2169. (PDF).
Moujin Zhang, S.-T. John Yu, S.-C. Henry Lin, S.-C. Chang, and Isaiah Blankson, "Solving Magnetohydrodynamic Equations Without Special Treatment for Divergence-Free Magnetic Field", AIAA Journal, Vol. 42, No. 12, Dec. 2004, pages 2605-2608. (PDF).
Chang-Kee Kim, S.-T. John Yu, and Zeng-Chan Zhang, "Cavity Flow in Scramjet Engine by Space-Time Conservation and Solution Element Method", AIAA Journal, Vol. 42, No. 5, May 2004, pages 912-919. (PDF).
Zeng-Chan Zhang, S. T. John Yu, Sin-Chung Chang, "A Space-Time Conservation Element and Solution Element Method for Solving the Two- and Three-Dimensional Unsteady Euler Equations Using Quadrilateral and Hexahedral Meshes", Journal of Computational Physics, Vol. 175,(2002) pp.168-199. (PDF).
Zeng-Chan Zhang, S.-T. John Yu, Sin-Chung Chang, Philip C. E. Jorgenson, "Calculations of Low-Mach-Number Viscous Flows without Preconditioning by the Space-Time CESE Method", collected in Computational Fluid Dynamics 2000, Edited by N. Satofuka, Springer-Verlag (2001) pp. 127-132. (PDF).
Sin-Chung Chang, Zeng-Chan Zhang, S.-T. John Yu, Philip C. E. Jorgenson, "A Unified Wall Boundary Treatment for Viscous and Inviscid Flows in the CESE Method", collected in Computational Fluid Dynamics 2000, Edited by N. Satofuka, Springer-Verlag (2001) pp. 671-676. (PDF).
D. Yang, S.-T. J. Yu, and J. Zhao, "Convergence and Error Bound Analysis for The Space-time CESE Method", Numerical Methods for Partial Differential Equations, vol. 17 (2001) pp. 64-78. (PDF).

1990 - 1999

S.-C. Chang, S.-T. Yu, Ananda Himansu, X.-Y. Wang, C.-Y. Chow, and C.-Y. Loh, "The Method of Space-Time Conservation Element and Solution Element -- A New Paradigm for Numerical Solution of Conservation Laws", Computational Fluid Dynamics 1998, Edited by M. Hafez, K. Oshima pp. 206-240. (PDF: 15 MB).
J. Wu, S.-T. Yu, and B.-N. Jiang, "Simulation of Two-Fluid Flows by the Least-Squares Finite-Element Method Using Continuum Surface Tension Model", International Journal of Numerical Methods in Engineering, vol. 42 (1998) pp. 583-600. (PDF).
S.-T. Yu, B.-N. Jiang, J. Wu, and J.-C. Duh, "Three-Dimensional Simulations of Marangoni-Benard Convection in Small Containers by the Least-Squares Finite-Element Method", Computer Methods in Applied Mechanics and Engineering, vol. 160, (1998) pp. 71-88. (PDF).
S.-T. Yu, B.-N. Jiang, J. Wu, and N.-S. Liu, "A Div-Curl-Grad Formulation for Compressible Buoyant Flows Solved by the Least-Squares Finite Element-Method", Computer Methods in Applied Mechanics and Engineering, vol. 137 (1996) pp. 59-88. (PDF).
S.-T. Yu, Y.-L. P. Tsai, and K. C. Hsieh, "Simulating Waves in Flows by Runge-Kutta and Compact Difference Schemes", AIAA Journal, vol. 33, no. 3 (1995) pp. 421-429. (PDF).
S.-T. Yu, B.-N. Jiang, N.-S. Liu, and J. Wu, "The Least-Squares Finite-Element Method for Low-Mach-Number Compressible Viscous Flows", International Journal of Numerical Methods in Engineering, vol. 35 (1995) pp. 3591-3610. (PDF).
S.-T. Yu, L.-S. Hultgren, and N.-S. Liu, "Direct Calculations of Waves in Fluid Flows Using A High-Order Compact Difference Scheme", AIAA Journal, vol. 32, no. 9 (1994) pp. 1766-1773. (PDF).
S.-T. Yu, "Convenient Method to Convert Two-Dimensional CFD Codes into Axisymmetric Ones", Journal of Propulsion and Power, vol. 9, no. 3 (1993) pp. 493-495. (PDF).
S.-T. John Yu, Y.-L. Peter Tsai, Jian-Shun Shuen, "Three-Dimensional Calculations of Supersonic Reacting Flows Using an LU Scheme", Journal of Computational Physics, Vol. 101, (1992) pp.276-286. (PDF).

Conference Papers

AIAA

Andrew Naples, Sheng-Tao John, Yu, John Hoke, Kenneth Busby, and Frederick Schauer, "Pressure Scaling Effects on Ignition and Detonation Initiation in a Pulse Detonation Engine", AIAA-2009-1062, AIAA 47th ASM, Orlando, Florida, January 5-8, 2009. (PDF).
David L. Bilyeu, S.-T. John Yu, and Douglas Davis, "Simulation of Shock-Tube Flows with Detailed Finite-Rate Chemistry by the CESE Method", AIAA-2009-0811, AIAA 47th ASM, Orlando, Florida, January 5-8, 2009. (PDF).
Minghao Cai, S.-T. John Yu, and Moujin Zhang, "Theoretical and Numerical Solutions of Linear and Nonlinear Elastic Waves in a Thin Rod", AIAA 2006-4778, 42nd AIAA/ASME/SAE/ASEE Joint Propulsion Conference and Exhibit, Sacramento, California, July 9-12, 2006. (PDF).
Hao He, S.-T. John Yu, Guofeng Lou, Igor Adamovich, and Mo Samimy, "Simulation of a Supersonic Jet Controlled by Plasma Actuators by the CESE Method", AIAA 2006-0316, 44th AIAA Aerospace Sciences Meeting and Exhibit, Reno, Nevada, Jan 9-12, 2006. (PDF).
Hao He, S.-T. John Yu, and Moujin Zhang, "Three-Dimensional Simulations of Cavity Flows by the Space-Time CESE Method", AIAA 2006-1381, 44th AIAA Aerospace Sciences Meeting and Exhibit, Reno, Nevada, Jan 9-12, 2006. (PDF).
Moujin Zhang, S.-T. John Yu, Sin-Chung Chang, and Isaiah Blankson, "Solving the MHD Equations by the Space-Time CESE Method", AIAA 2006-9711, AIAA Sciences Meeting, Reno Nevada. (PDF).
Bao Wang, Hao He, and S.-T. John Yu, "Direct Calculation of Wave Implosion for Detonation Initiation in Pulsed Detonation Engines," AIAA 2005-1306. (PDF).
Hao He, S.-T. John Yu, and Zeng-Chan Zhang, "Direct Calculations of One-, Two-, and Three-Dimensional Detonations by the CESE Method," AIAA 2005-0229. (PDF).
Moujin Zhang, S.-T. John Yu and Sin-Chung Chang, "Solving the Navier-Stokes Equations by the CESE Method", AIAA 2004-0075. (PDF).
Bao Wang and S.-T. John Yu, "Direct Calculation of Spherical Detonation Initiation of H2/O2/Ar Mixtures by the CESE Method", AIAA 2004-0793. (PDF).
Moujin Zhang, S.-T. John Yu, Sin-Chung Chang, "CFL Number Insensitive CESE Schemes for the Two-Dimensional Euler Equations", AIAA-2003-3842, 16th AIAA Computational Fluid Dynamics Conference, Orlando, Florida, June 23-26, 2003. (PDF).
Kyoung-Su Im, S.-T. John Yu, "Analyses of Direct Detonation Initiation with Realistic Finite-Rate Chemistry", AIAA 2003-1318. (PDF).
Hao He, S.-T. John Yu, "Three-Dimensional Simulation of Transverse Injection in a Supersonic Flow by the CESE Method", AIAA 2003-0375. (PDF).
Moujin Zhang, S.-T. John Yu, "Calculation of the Ideal MHD Equations by the CESE Method without Special Treatment for the Divergence-Free Constraint of Magnetic Field", AIAA 2003-0324. (PDF).
Moujin Zhang, S.-C. Henry Lin, S.-T. John Yu, "Application of the Space-Time Conservation Element and Solution Element Method to the Ideal Magnetohydrodynamic Equations," AIAA 2002-3888. (PDF).
Hao He, Z.-C. Zhang, S.-T. John Yu, Philip C. E. Jorgenson, "Application of the CESE Method to PDE Plume Dynamics Using a Beowulf Cluster", AIAA 2002-0614. (PDF).
Kyoung-Su Im, S.-T. John Yu, Chang-Kee Kim, Sin-Chung Chang, and Philip C.E. Jorgenson, "Application of the CESE Method to Detonation with Realistic Finite-Rate Chemistry", AIAA 2002-1020. (PDF).
Chang-Kee Kim, Kyoung-Su Im, S.- T. John Yu, "Direct Calculation of High-Speed Cavity Flows in a Scramjet Engine by the CESE Method", AIAA-2002-1084, 40th AIAA Aerospace Sciences Meeting and Exhibit, Reno, NV, Jan. 14-17, 2002. (PDF).
Zeng-Chan Zhang, S.-T. John Yu, "A Generalized Space-Time CESE Method for the Euler Equations on Quadrilateral and Hexagonal Meshes", AIAA 2001-2592. (PDF).
Zeng-Chan Zhang, S.-T. John Yu, Hao He, Philip C.E. Jorgenson, "Direct Calculations of Plume Dynamics of a Pulse Detonation Engine by the CESE Method", AIAA 2001-3614. (PDF).
Hsin-Hua Tsuei, Biing-Horng Liou, S.-T. John Yu, "Direct Calculation of Turbomachinery Flows Using the Space-Time Conservation Element and Solution Element Method", AIAA 2001-0531. (PDF).
Zeng-Chan Zhang, S.-T. John Yu, Hao He, Sin-Chung Chang, "Direct Calculations of Two- and Three- Dimensional Detonations by an Extended CESE Method", AIAA 2001-0476. (PDF).
Jian-Rong Qin, S.-T. John Yu, Zeng-Chan Zhang, Ming Chia Lai, "Simulation of Cavitating Flows by the Space-Time CESE Method", AIAA 2001-1043. (PDF).
Hao He, Zeng-Chan Zhang, S.-T. John Yu, Sin-Chung Chang, "Simulations of Three-Dimensional Detonations by the CESE Method Using a Very Low-Cost Beowulf Cluster", AIAA 2001-0140. (PDF).
Zeng-Chan Zhang, S.-T. John Yu, Xiao-Yen Wang, Sin-Chung Chang, Philip C.E. Jorgenson, "The Space-Time CESE Method for the Navier-Stokes Equations in Three Spatial Dimensions", AIAA 2000-2331. (PDF).
Zeng-Chan Zhang, S.-T. John Yu, Xiao-Yen Wang, Sin-Chung Chang, Ananda Himansu, Philip C.E. Jorgenson, "The CESE Method for Navier-Stokes Equations Using Unstructured Meshes for Flows at All Speeds", AIAA 2000-0393. (PDF).
Zeng-Chan Zhang, S.-T. John Yu, "A Non-Oscillatory Central Scheme for Conservation Laws", AIAA 99-3576. (PDF).
Zeng-Chan Zhang, S.-T. John Yu, "A Modified Space-Time Conservation Element and Solution Element Method for Euler and Navier-Stokes Equations", AIAA 99-3277. (PDF).
Surg-Jue Park, Sheng-Tao Yu, Ming-Chia Lai, Sin-Chung Chang, and Philip C.E. Jorgenson, "Numerical Calculation of Unstable Detonations by the Method of Space-Time Conservation Element and Solution Element", AIAA 99-1491. (PDF).
Zeng-Chan Zhang, S.-T. John Yu, "Shock Capturing without Riemann Solver -- A Modified Space-Time CESE Method for Conservation Laws", AIAA 99-0904. (PDF).
Surg-Jue Park, Sheng-Tao Yu, Ming-Chia Lai, Sin-Chung Chang, and Philip C.E. Jorgenson, "Direct Calculations of Stable and Unstable ZND Detonations by the Space-Time Conservation Element and Solution Element Method", AIAA 99-0491. (PDF).
S.-T. John Yu, Sin-Chung Chang, "Treatments of Stiff Source Terms in Conservation Laws by the Method of Space-Time Conservation Element and Solution Element", AIAA 97-0435. (PDF).
S.-T. John Yu, Sin-Chung Chang, "Applications of the Space-Time Conservation Element and Solution Element Method to Unsteady Chemically Reacting Flows", AIAA 97-2099. (PDF).
S. -T. Yu, L. S. Hultgren, and N. S. Liu, "Direct Calculations of Waves in Fluid Flows Using A High-Order Compact Difference Scheme", AIAA 93-0148. (PDF).

Others

Jian-Rong Qin, S.-T. John Yu, Ming Chia Lai, "Direct Calculations of Cavitating Flows in Fuel Delivery Pipe by the Space-Time CESE Method", SAE 1999-01-3554. (PDF).