大气平流和对流现象数值模拟的WENO-TVD有限体积格式研究
A study of a WENO-TVD finite volume scheme for the numerical simulation of atmospheric advective and convective phenomena
摘要：
本文提出了一种用于模拟大气现象的WENO-TVD格式。该方案考虑了空间离散化通过二阶TVD通量的基础上通量中心的限制器的方法，它利用高阶精确的外推值所产生的WENO重建过程。时间离散采用三阶RK-TVD格式，源项采用分裂。我们提出了一个全面的性能研究的方法在大气中的应用，涉及平流和对流运动。我们提出了一套测试空间依赖的线性平流，在那里我们评估收敛性和鲁棒性的参数的计划。我们应用该方法近似的二维欧拉方程在一系列的测试大气对流。
英文摘要：
We present a WENO-TVD scheme for the simulation of atmospheric phenomena. The scheme considers a spatial discretization via a second-order TVD flux based upon a flux-centered limiter approach, which makes use of high-order accurate extrapolated values arising from a WENO reconstruction procedure. Time discretization is performed with a third order RK-TVD scheme, and splitting is used for the inclusion of source terms. We present a comprehensive performance study of the method in atmospheric applications involving advective and convective motion. We present a set of tests for space-dependent linear advection, where we assess convergence and robustness with respect to the parameters of the scheme. We apply the method to approximate the 2D Euler equations in a series of tests for atmospheric convection.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
