Iterative space-marching method for incompressible and compressible full Navier-Stokes equations

摘要

The objective of this lecture is to show that global pressure relaxation technique can serve as a base for a computational method for fluid mechanics problems, which has the following characteristics: 1) it is quite universal - it can be applied for full Navier-Stokes equations for both compressible and incompressible fluids, for problems of any dimension, both steady and unsteady, and for flows without a main flow direction; 2) it allows for the solution of compressible and incompressible fluid problems based on a common algorithm; 3) its algorithm is simple because the method is based entirely on space-marching procedures (no splitting is used); 4) it is highly effective because it has good stability and convergence, it is applied for conservative form of equations with second or higher order of approximation with respect to all independent variables.