ADER scheme for incompressible Navier-Stokes equations on overset grids with a compact transmission condition. (English) Zbl 07568532
Summary: A space-time Finite Volume method is devised to simulate incompressible viscous flows in an evolving domain. Inspired by the ADER method (based on a Finite-Element-prediction/Finite-Volume-correction approach), the Navier-Stokes equations are discretized onto a space-time overset grid which is able to take into account both the shape of a possibly moving object and the evolution of the domain. A compact transmission condition is employed in order to mutually exchange information from one mesh to the other. The resulting method is second order accurate in space and time for both velocity and pressure. The accuracy and efficiency of the method are tested through reference simulations.
MSC:
| 76Mxx | Basic methods in fluid mechanics |
| 65Mxx | Numerical methods for partial differential equations, initial value and time-dependent initial-boundary value problems |
| 65Nxx | Numerical methods for partial differential equations, boundary value problems |
Keywords:
Chimera mesh; overset grid; ADER; finite volume; incompressible Navier-Stokes; compact transmission conditionSoftware:
CMPGRDReferences:
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