Adaptive finite element methods for transient compressible flow problems. (English) Zbl 0804.76053
Brebbia, C. A. (ed.) et al., Adaptive finite and boundary element methods. Southampton: Computational Mechanics Publications,. 119-160 (1993).
We concentrate upon the use of unstructured mesh methods. Unstructured meshes have been applied to the solution of inviscid two-dimensional transient flows involving moving bodies, using a method which is an extension of the remeshing procedures which have been successfully implemented for the solution of steady state problems. The method is implemented on an unstructured triangular grid, and the mesh adaptation is achieved by local grid generation, using an error estimation procedure coupled to an automatic triangular mesh generator. Several numerical examples are included to illustrate the numerical performance of the method.
For the entire collection see [Zbl 0787.00001].
For the entire collection see [Zbl 0787.00001].
MSC:
| 76M10 | Finite element methods applied to problems in fluid mechanics |
| 76N10 | Existence, uniqueness, and regularity theory for compressible fluids and gas dynamics |
| 65M60 | Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs |
| 65M50 | Mesh generation, refinement, and adaptive methods for the numerical solution of initial value and initial-boundary value problems involving PDEs |
