An upwind-biased, point-implicit relaxation algorithm for viscous, compressible perfect-gas flows

摘要: An upwind-biased, point-implicit relaxation algorithm for obtaining the numerical solution to governing equations three-dimensional, viscous, compressible, perfect-gas flows is described. The derived using a finite-volume formulation in which inviscid components of flux across cell walls are described with Roe's averaging and Harten's entropy fix second-order corrections based on Yee's Symmetric Total Variation Diminishing scheme. Viscous terms discretized central differences. strategy well suited computers employing either vector or parallel architectures. It also unstructured grids. Because strategy, remains stable at large Courant numbers without necessity solving large, block tri-diagonal systems. Convergence rates grid refinement studies conducted Mach 5 flow through an inlet 10 deg compression ramp 14 over 15 ramp. Predictions pressure distributions, surface heating, aerodynamics coefficients compare experiment data blunt body.