An Unsteady Preconditioning Scheme Based on Convective-Upwind Split-Pressure (CUSP) Artificial Dissipation
UTAH STATE UNIV LOGAN
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Obtaining accurate computational results for unsteady low-Mach number flows presents significant challenges for numerical schemes. In this work, we present a novel preconditioning scheme designed to provide good conditioning for these flows for all Strouhal numbers. The scheme is based on the convective-upwind split-pressure CUSP scheme which naturally facilitates the proper scaling of velocity and pressure dissipation terms for unsteady low-Mach number flows. Unlike traditional matrix dissipation schemes, the preconditioned CUSP formulation provides scalar-like efficiency and simplicity. Several test cases are presented for steady, unsteady, convection-dominated, and acoustic- dominated flows that demonstrate significant improvements in accuracy and convergence rate over traditional preconditioning schemes for a wide range of flow conditions.
- Fluid Mechanics