A High-Order Dual-Time Stepping FR/CPR Method for Unsteady Incompressible Navier-Stokes Equations on Unstructured Moving Grids
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Type of Work11 pages
conference papers and proceedings
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SubjectsIncompressible Navier-Stokes Equations on Unstructured Moving Grids
flux reconstruction/correction procedure via reconstruction
artificial compressibility method
unsteady flow simulations
dual-time stepping method
A high-order accurate flux reconstruction/correction procedure via reconstruction (FR/CPR) method is developed to solve incompressible Navier-Stokes equations on unstructured moving grids. An artificial compressibility method is adopted to facilitate the common flux reconstruction on element interfaces. For unsteady flow simulations, a dual-time stepping method is used for temporal discretization. For simulations on deformable/moving grids, the Geometric Conservation Law (GCL) introduced in dynamic spatial coordinate transformation has been enforced. The newly developed method is verified with several steady and unsteady benchmark incompressible flow problems.