Characteristic time-stepping or local preconditioning of the Euler equationsA derivation is presented of a local preconditioning matrix for multidimensional Euler equations, that reduces the spread of the characteristic speeds to the lowest attainable value. Numerical experiments with this preconditioning matrix are applied to an explicit upwind discretization of the two-dimensional Euler equations, showing that this matrix significantly increases the rate of convergence to a steady solution. It is predicted that local preconditioning will also simplify convergence-acceleration boundary procedures such as the Karni (1991) procedure for the far field and the Mazaheri and Roe (1991) procedure for a solid wall.
Document ID
19910056103
Acquisition Source
Legacy CDMS
Document Type
Conference Paper
Authors
Van Leer, Bram (Michigan Univ. Ann Arbor, MI, United States)
Lee, Wen-Tzong (Michigan Univ. Ann Arbor, MI, United States)
Roe, Philip L. (Michigan, University Ann Arbor, United States)