Abstract
We present a new conservative Cartesian grid embedded boundary method for the solution of the incompressible Navier–Stokes equations in a time-dependent domain. It is a Godunov-projection fractional step scheme in which hyperbolic advection and a variety of implicit and explicit Helmholtz operations are performed on time-stationary domains. The transfer of data from one fixed domain to another uses third-order interpolation. The method is second order accurate in and first order in . The algorithm is verified on flow geometries with prescribed boundary motion.
Citation
Gregory Miller. David Trebotich. "An embedded boundary method for the Navier–Stokes equations on a time-dependent domain." Commun. Appl. Math. Comput. Sci. 7 (1) 1 - 31, 2012. https://doi.org/10.2140/camcos.2012.7.1
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