We present a novel method for the solution of the diffusion equation on a composite AMR mesh. This approach is suitable for including diffusion based physics modules to hydrocodes that support ALE and AMR capabilities...We present a novel method for the solution of the diffusion equation on a composite AMR mesh. This approach is suitable for including diffusion based physics modules to hydrocodes that support ALE and AMR capabilities. To illustrate, we proffer our implementations of diffu- sion based radiation transport and heat conduction in a hydrocode called ALE-AMR. Numerical experiments conducted with the diffusion solver and associated physics packages yield 2nd order convergence in the L2 norm.展开更多
基金the auspices of the U.S.Department of Energy by Lawrence Livermore National Laboratory under Contract DEAC52-07NA27344LBNL under DE-AC0205CH11231 was supported by the Director,Office ofScience of the U.S.Department of Energy and the Petascale Initiative in Computational Science and Engineeringthe National Energy Research Scientific Computing Center,supported by the Office of Science,U.S.Department of Energy under Contract No.DE-AC02-05CH11231.
文摘We present a novel method for the solution of the diffusion equation on a composite AMR mesh. This approach is suitable for including diffusion based physics modules to hydrocodes that support ALE and AMR capabilities. To illustrate, we proffer our implementations of diffu- sion based radiation transport and heat conduction in a hydrocode called ALE-AMR. Numerical experiments conducted with the diffusion solver and associated physics packages yield 2nd order convergence in the L2 norm.
