非保存型に基づいた衝撃波を含む非線形波動の新しい解法 (現象解明に向けた数値解析学の新展開 II)

Abstract

Whole new scheme for solving nonlinear wave propagation including shock waves based on non-conservative formulation is introduced in this paper. It is generally believed that such phenomena should be computed with the schemes based on conservative formulation because of numerical stability for treating shock waves. However, such schemes often suffer from compromise between stabihty and accuracy. Our new scheme, named Burgers-Hayes CIP method, successfully achieves much accurate solution while keeping computational stability around shock waves.