Application of direct solvers to unstructured meshes for the Euler and Navier-Stokes equations using upwind schemesThe application of Newton iteration to inviscid and viscous airfoil calculations on unstructured meshes is examined. A cell-centered finite volume scheme is employed on an unstructured mesh consisting of triangles. Roe's flux difference splitting scheme is used to compute the inviscid fluxes. Higher order accuracy is achieved by an interpolation procedure that makes use of auxiliary gradients. The efficient solution of the sparse linear system of equations which arises upon linearization in time is addressed. Results are presented for inviscid and viscous test cases. The complications which arise due to the introduction of nonlinear limiters are addressed.
Document ID
19890037937
Acquisition Source
Legacy CDMS
Document Type
Conference Paper
Authors
Venkatakrishnan, V. (Analytical Services and Materials, Inc. Hampton, VA, United States)
Barth, Timothy J. (NASA Ames Research Center Moffett Field, CA, United States)