In this paper we describe an adaptive Cartesian grid method for modeling time-dependent inviscid compressible flow in irregular regions, In this approach a body is treated as an interface embedded in a regular Cartesian mesh. The single grid algorithm uses an unsplit second-order Godunov algorithm followed by a corrector applied to celis at the boundary. The discretization near the fluidbody in...

This paper describes a computational framework for efficiently constructing and applying adaptive grid domain mappinglJ for the numerical solution of partial differential equations (PDEs). These mappings are used to transform a PDE problem 80 that solving the new problem in the IItransrormed domain using a uniform grid is equivalent to solving the original problem using an adapted grid. Thus, i...

This paper presents a dynamically adaptive quadtree grid generation system for the solution of a two-dimensional two-layer shallow water model. Roe-type two-layer shallow water solvers require numerical approximation of the system eigenvalues as well as numerical balancing, which increase computational cost considerably when a regular grid is used. In order to improve computational efficiency, ...

This paper studies the possibility of using adaptive grid refinement for routine, automated simulations ship resistance in calm water. With increase maturity and reliability mesh adaptation methods, main remaining challenge is creation straightforward, universal user guidelines which allow these computations to be run correctly, without resorting trial error set parameters. The uses flow solver...

Image-based modeling of semi-transparent, dynamic phenomena is a challenging task. We present an optical tomography method that uses an adaptive grid for the reconstruction of a three-dimensional density function from its projections. The proposed method is applied to reconstruct thin smoke and flames volumetrically from synchronized multi-video recordings. Our adaptive reconstruction algorithm...

A solution adaptive scheme with directional multigrid for viscous computations on hybrid grids is presented. The ow domain is discretized with prismatic and tetrahedral elements. The use of hybrid grid enables the solver to compute accurate solutions with relatively less memory requirement than a fully unstructured grid. Further, employing prisms to discretize the full Navier-Stokes equations a...

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