A unifying discontinuous formulation named the correction procedure via reconstruction (CPR) for conservation laws is extended to solve the Navier-Stokes equations for mixed grids. The CPR framework can unify several popular high order methods including the discontinuous Galerkin and the spectral volume methods into a differential formulation without explicit volume or surface integrations. Several test cases are computed to demonstrate its performance.
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Univ Illinois, Mech Sci & Engn, 1206 W Green St, Urbana, IL 61801 USAUniv Illinois, Mech Sci & Engn, 1206 W Green St, Urbana, IL 61801 USA
Mittal, Ketan
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Dutta, Som
Fischer, Paul
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Univ Illinois, Mech Sci & Engn, 1206 W Green St, Urbana, IL 61801 USA
Univ Illinois, Comp Sci, 201 N Goodwin Ave, Urbana, IL 61801 USAUniv Illinois, Mech Sci & Engn, 1206 W Green St, Urbana, IL 61801 USA