双曲型守恒律方程的网格自适应并行计算框架
A Parallel Mesh-Adaptive Framework for Hyperbolic Conservation Laws
摘要：
我们报告的并行，网格自适应解决方案的双曲守恒律系统的计算框架的发展，如可压缩气体动力学或磁流体动力学（MHD）和类似的模型在等离子体物理中的时间相关的欧拉方程。局部网格加密是通过沿每个空间维度的网格块的递归二分来实现的，实现的数值方案包括标准有限差分以及激波捕获中心方案，两者都与Runge-Kutta型积分器有关。并行执行是通过一个可配置的混合POSIX多线程和MPI分布与动态负载平衡。对欧拉方程进行了一维、二维和三维的试验计算，显示出良好的并行标度行为。Racoon框架目前用于研究等离子体和流体中奇点的形成。
英文摘要：
We report on the development of a computational framework for the parallel, mesh-adaptive solution of systems of hyperbolic conservation laws like the time-dependent Euler equations in compressible gas dynamics or Magneto-Hydrodynamics (MHD) and similar models in plasma physics. Local mesh refinement is realized by the recursive bisection of grid blocks along each spatial dimension, implemented numerical schemes include standard finite-differences as well as shock-capturing central schemes, both in connection with Runge-Kutta type integrators. Parallel execution is achieved through a configurable hybrid of POSIX-multi-threading and MPI-distribution with dynamic load balancing. One- two- and three-dimensional test computations for the Euler equations have been carried out and show good parallel scaling behavior. The Racoon framework is currently used to study the formation of singularities in plasmas and fluids.
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