Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4638479 | Journal of Computational and Applied Mathematics | 2015 | 7 Pages |
Abstract
Flowfield-dependent variation (FDV) method has been used in fluid mechanics and astrophysics. This method has been developed to solve many flow problems such as the interactions of shock waves with turbulent boundary layers in transonic flow and hypersonic flow, and chemically reacting flows. However, stability analysis and error estimate are missing in the numerical method. In this paper we analyze FDV method for a first-order linear hyperbolic equation, and apply finite difference method to discretize the space variable. Stability conditions and optimal error estimates are proved.
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
Moongyu Park,