A primitive variable discrete exterior calculus discretization of incompressible Navier–Stokes equations over surface simplicial meshes
KAUST Grant NumberURF/1/3723-01-01
Permanent link to this recordhttp://hdl.handle.net/10754/665794
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AbstractA conservative primitive variable discrete exterior calculus (DEC) discretization of the Navier–Stokes equations is performed. An existing DEC method [M. S. Mohamed, A. N. Hirani, and R. Samtaney, “Discrete exterior calculus discretization of incompressible Navier–Stokes equations over surface simplicial meshes,” J. Comput. Phys. 312, 175–191 (2016)] is modified to this end and is extended to include the energy-preserving time integration and the Coriolis force to enhance its applicability to investigate the late-time behavior of flows on rotating surfaces, i.e., that of the planetary flows. The simulation experiments show second order accuracy of the scheme for the structured-triangular meshes and first order accuracy for the otherwise unstructured meshes. The method exhibits a second order kinetic energy relative error convergence rate with mesh size for inviscid flows. The test case of flow on a rotating sphere demonstrates that the method preserves the stationary state and conserves the inviscid invariants over an extended period of time.
CitationJagad, P., Abukhwejah, A., Mohamed, M., & Samtaney, R. (2021). A primitive variable discrete exterior calculus discretization of incompressible Navier–Stokes equations over surface simplicial meshes. Physics of Fluids, 33(1), 017114. doi:10.1063/5.0035981
SponsorsThis research was supported by the KAUST Office of Sponsored Research under Award No. URF/1/3723-01-01.
JournalPhysics of Fluids
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