Butcher's tableaux of the optimized explicit Runge-Kutta schemes for high-order collocated discontinuous Galerkin methods for compressible fluid dynamics

This folder contains the Butcher's tableaux of the optimized explicit Runge-Kutta schemes for high-order collocated discontinuous Galerkin methods for compressible fluid dynamics presented in Al Jahdali et al., "Optimized explicit Runge--Kutta schemes for high-order collocated discontinuous Galerkin methods for compressible fluid dynamics," Computers & Mathematics with Applications, 2022. Specifically, Butcher_coefficients_ADV.txt contains the Butcher's tableaux of the explicit Runge-Kutta schemes optimized using the spectra of the 2D advection equation. Butcher_coefficients_IEV.txt contains the Butcher's tableaux of the explicit Runge-Kutta schemes optimized using the spectra of the isentropic vortex propagation for the compressible Euler equations.本文件夹收录了Al Jahdali等于2022年发表于《计算机与数学应用（Computers & Mathematics with Applications）》的论文《面向可压缩流体动力学高阶配点型间断伽辽金方法的优化显式龙格-库塔（Runge-Kutta）格式》中，针对可压缩流体动力学高阶配点型间断伽辽金方法所优化的显式龙格-库塔格式的巴特勒表（Butcher's tableaux）。具体而言，文件Butcher_coefficients_ADV.txt收录了基于二维对流方程谱特性优化得到的显式龙格-库塔格式的巴特勒表；文件Butcher_coefficients_IEV.txt则收录了基于可压缩欧拉方程的等熵涡传播谱特性优化得到的显式龙格-库塔格式的巴特勒表。