Diffusion Discretization References

• Morel-Hall Asymmetric Method
  • Described in

    Michael L. Hall, and Jim E. Morel. A Second-Order Cell-Centered Diffusion Differencing Scheme for Unstructured Hexahedral Lagrangian Meshes. In Proceedings of the 1996 Nuclear Explosives Code Developers Conference (NECDC), UCRL-MI-124790, pages 359-375, San Diego, CA, October 21-25 1996. LA-UR-97-8.

    which is an extension of

    J. E. Morel, J. E. Dendy, Jr., Michael L. Hall, and Stephen W. White. A Cell-Centered Lagrangian-Mesh Diffusion Differencing Scheme. Journal of Computational Physics, 103(2):286-299, December 1992.

    to 3-D unstructured meshes, with an alternate derivation.
• Support Operator Symmetric Method:
  • Described in

    Michael L. Hall, and Jim E. Morel. Diffusion Discretization Schemes in Augustus: A New Hexahedral Symmetric Support Operator Method. In Proceedings of the 1998 Nuclear Explosives Code Developers Conference (NECDC), Las Vegas, NV, October 26-30 1998. LA-UR-98-3146.

    which is an extension of

    Mikhail Shashkov and Stanly Steinberg. Solving Diffusion Equations with Rough Coefficients in Rough Grids. Journal of Computational Physics, 129:383-405, 1996.

    to 3-D unstructured meshes, with an alternate derivation.