Analysis of an Implicit Factored Scheme for Simulating Shock Waves

摘要

A detailed derivation and analysis of an implicit factored scheme is given. A one dimensional shock tube problem is solved numerically using the factored scheme. The results and exact solution are presented for this problem. An analysis of the features of the method is made and the limitations of this implicit factored scheme for more general applications to shock waves in solids are discussed. An alternative approach appears to have wider applicability than the method studied here. Keywords: Shock waves; Finite difference algorithms; Simulation, Australia. (JHD)