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| Reinicke Meyer-ter-Vehn Problem |
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The Reinicke Meyer-ter-Vehn (RMTV) problem considered here has an initial concentrated energy source of sufficient magnitude so that heat conduction dominates the fluid flow, that is, a thermal front leads a hydrodynamic shock. RMTV examined the self-similar case and found that the fluid equations reduced to a set of four ordinary differential equations Due to evaluation of the initial conditions and multiple-region integration of complicated ODEs, the RMTV problem has the distinction of possessing complex analytical solution. This RMTV code is released under LA-CC-05-101.
 heat front leading a shock front |
 analytical and numerical |
 convergence study |
 evolution movie |
rmtv.f solves the RMTV problem. |
Temperature uniform mesh:
 temperature 240x240 cells |
 temperature 480x480 cells |
 temperature 960x960 cells |
 temperature error 240x240 cells |
 temperature error 480x480 cells |
 temperature error 960x960 cells |
 temperature asymmetry 240x240 |
 temperature asymmetry 480x480 |
 temperature asymmetry 960x960 |
 temperature movie |
 temperature movie |
Temperature adaptive mesh:
 temperature 240x240 cells |
 temperature 480x480 cells |
 temperature 960x960 cells |
 temperature error 240x240 cells |
 temperature error 480x480 cells |
 temperature error 960x960 cells |
 temperature asymmetry 240x240 |
 temperature asymmetry 480x480 |
 temperature asymmetry 960x960 |