Exact(11)
The boundary conditions are enforced by applying forces near the embedded boundaries.
A general approach for incorporating embedded boundaries into an electromagnetic finite difference time domain (FDTD) code is presented.
The method enables a sharp resolution of the embedded boundaries and strictly conserves mass, momentum, and energy.
The pressure solver is accelerated using an algebraic multigrid technique adapted to be effective in the presence of moving embedded boundaries.
Numerical tests of the projection alone confirm the analysis and show that this error is concentrated near the embedded boundaries, leading to higher-order accuracy in integral norms.
Generically, forcing methods generate a solution that is not smooth across the embedded boundaries, and it is this lack of smoothness which limits the accuracy of the methods.
Similar(49)
Embedded Boundary Methods (EBMs) for Computational Fluid Dynamics (CFD) are usually constructed in the Eulerian setting.
A stable and high-order accurate embedded boundary method for first order hyperbolic equations is derived.
dynamic mesh, adaptive mesh refinement or embedded boundary method as well as more specific cases such as aerospace applications and fluid structure interaction problems.
The computational framework is a Cartesian mesh/narrow band level set method for the coupled advection-diffusion model questions with a moving embedded boundary inside a fixed computational domain.
The numerical method is based on an immersed boundary method for fluid structure interaction and a Cartesian grid embedded boundary method for the solute.
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