The convergence of numerical solutions of hydrodynamical shock problems
Document Type
Article
Publication Date
3-1989
Department
Department of Mathematical Sciences
Abstract
Models C and D are mathematical formulations for the motion of materials. Model C is the classical, continuum model, and Model D is an alternative with some advantages. This paper proves a discretization of Model D converges when the material law is the ideal gas with a Navier-Stokes viscosity, the boundary data are given by the zero-velocity boundary conditions, and the initial data are physically acceptable. The discretization is conservative and entropy increasing. This numerical scheme can be used in the calculation of solutions to problems involving shock waves in hydrodynamical materials.
Publication Title
Applied Mathematics and Computation
Recommended Citation
Hicks, D.,
&
Kuttler, K.
(1989).
The convergence of numerical solutions of hydrodynamical shock problems.
Applied Mathematics and Computation,
30(2), 99-123.
http://doi.org/10.1016/0096-3003(89)90145-8
Retrieved from: https://digitalcommons.mtu.edu/michigantech-p/5571