A time derivative preconditioning is introduced that allows a unified treatment of timemarching methods for both compressible and incompressible flows from inviscid to creeping flow. Results show that convergence rate...A time derivative preconditioning is introduced that allows a unified treatment of timemarching methods for both compressible and incompressible flows from inviscid to creeping flow. Results show that convergence rates are independent of Reynolds numbers and Mach numbers throughout this regime. A Complete formulation'based on an arbitrary equation of state facilitates the changes from one type of fluid to another and, in particular, the extension to incompressible flows. The resulting time-marching algorithm is shown in the incompressible limit to be identical to iterative methods based on pressure-Poisson methods, and it is demonstrated that both method are hyperbolic.展开更多
文摘A time derivative preconditioning is introduced that allows a unified treatment of timemarching methods for both compressible and incompressible flows from inviscid to creeping flow. Results show that convergence rates are independent of Reynolds numbers and Mach numbers throughout this regime. A Complete formulation'based on an arbitrary equation of state facilitates the changes from one type of fluid to another and, in particular, the extension to incompressible flows. The resulting time-marching algorithm is shown in the incompressible limit to be identical to iterative methods based on pressure-Poisson methods, and it is demonstrated that both method are hyperbolic.
