High Efficient Numerical Methods for Viscous and Nonviscous Wave Problems

[摘要] This paper is concerned with accurate and efficient numerical methods for solving viscousand nonviscous wave problems. The paper first introduces a new second-order PR-ADI likescheme. For an efficient simulation, the scheme is also extended to a high-order compact PRADIlike method. Both of them have the advantages of unconditional stability, less impact ofthe perturbing terms on the accuracy, and being convenient to compute the boundary valuesof the intermediates. Besides this, the compact scheme has high-order accuracy and costs lessin computational time. Numerical results are presented to show the accuracy and efficiency ofthe new algorithms.

[学科分类] 应用数学