Bibliography

SOLVCON and the CESE Method

  • Papers and presentations:
    • Published Applications of SOLVCON
    • Yung-Yu Chen, A Multi-Physics Software Framework on Hybrid Parallel Computing for High-Fidelity Solutions of Conservation Laws, Ph.D. Thesis, The Ohio State University, United States, Aug. 2011. (OhioLINK)
    • PyCon US 2011 talk: slides and video
    • Yung-Yu Chen, David Bilyeu, Lixiang Yang, and Sheng-Tao John Yu, “SOLVCON: A Python-Based CFD Software Framework for Hybrid Parallelization”, 49th AIAA Aerospace Sciences Meeting, January 4-7 2011, Orlando, Florida. AIAA Paper 2011-1065
  • The CESE method:
    • The CE/SE working group: http://www.grc.nasa.gov/WWW/microbus/
    • The CESE research group at OSU: http://cfd.solvcon.net/research.html
    • Selected papers:
      • Sin-Chung Chang, “The Method of Space-Time Conservation Element and Solution Element – A New Approach for Solving the Navier-Stokes and Euler Equations”, Journal of Computational Physics, Volume 119, Issue 2, July 1995, Pages 295-324. doi: 10.1006/jcph.1995.1137
      • Xiao-Yen Wang, Sin-Chung Chang, “A 2D Non-Splitting Unstructured Triangular Mesh Euler Solver Based on the Space-Time Conservation Element and Solution Element Method”, Computational Fluid Dynamics Journal, Volume 8, Issue 2, 1999, Pages 309-325.
      • 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, Volume 175, Issue 1, Jan. 2002, Pages 168-199. doi: 10.1006/jcph.2001.6934

Others

[Anderson03]John David Anderson, Modern Compressible Flow: With Historical Perspective, McGraw-Hill, 2003. ISBN 0072424435.
[Chang95]Sin-Chung Chang, “The Method of Space-Time Conservation Element and Solution Element – A New Approach for Solving the Navier-Stokes and Euler Equations”, Journal of Computational Physics, Volume 119, Issue 2, July 1995, Pages 295-324. doi: 10.1006/jcph.1995.1137
[Chen11]Yung-Yu Chen, A Multi-Physics Software Framework on Hybrid Parallel Computing for High-Fidelity Solutions of Conservation Laws, Ph.D. Thesis, The Ohio State University, United States, Aug. 2011. (OhioLINK)
[Chen12]Yung-Yu Chen, Lixiang Yang, and Sheng-Tao John Yu, “Hyperbolicity of Velocity-Stress Equations for Waves in Anisotropic Elastic Solids”, Journal of Elasticity, Volume 106, Issue 2, Feb. 2012, Page 149-164. doi: 10.1007/s10659-011-9315-8
[Lax73]Peter D. Lax, “Hyperbolic Systems of Conservation Laws and the Mathematical Theory of Shock Waves”, Society for Industrial Mathematics, 1973. ISBN 0898711770.
[Sod78]Sod, G. A., “A Survey of Several Finite Difference Methods for Systems of Nonlinear Hyperbolic Conservation Laws”, J. Comput. Phys., 27: 1–31.
[Mavriplis97]D. J. Mavriplis, Unstructured grid techniques, Annual Review of Fluid Mechanics 29. (1997)
[Warming75]R. F. Warming, Richard M. Beam, and B. J. Hyett, “Diagonalization and Simultaneous Symmetrization of the Gas-Dynamic Matrices”, Mathematics of Computation, Volume 29, Issue 132, Oct. 1975, Page 1037-1045. http://www.jstor.org/stable/2005742
[Wesselling01]Pieter Wesseling, “Principles of Computational Fluid Dynamics”.
[Yang13]Lixiang Yang, Yung-Yu Chen, Sheng-Tao John Yu, “Viscoelasticity determined by measured wave absorption coefficient for modeling waves in soft tissues”, Wave Motion, Volume 50, Issue 2, March 2013, Page 334-346. doi: 10.1016/j.wavemoti.2012.09.002.