Domain-decomposable preconditioners for second-order upwind discretizations of multicomponent systems
Discrete systems arising in computational fluid dynamics applications often require wide stencils adapted to the local convective direction in order to accommodate higher-order upwind differencing, and involve multiple components perhaps coupling strongly at each point. Conventional exactly or approximately factored inverses of such operators are burdensome to apply globally, especially in problems complicated by non-tensor-product domain geometry or adaptive refinement, though their forward action is not. Such problems can be solved by iterative methods by using either point-block preconditioners or combination space-decoupled/component-decoupled preconditioners that are based on lower-order discretizations. Except for a global implicit solve on a coarse grid, each phase in the application of such preconditioners has simple locally exploitable structure.
NASA STI/Recon Technical Report N
- Pub Date:
- Computational Fluid Dynamics;
- Operators (Mathematics);
- Partial Differential Equations;
- Fluid Mechanics and Heat Transfer