A fourth-order Cartesian grid embedded boundary method for Poisson’s equation
نویسندگان
چکیده
منابع مشابه
A Fourth-order Cartesian Grid Embedded Boundary Method for Poisson’s Equation
In this paper, we present a fourth-order algorithm to solve Poisson’s equation in two and three dimensions. We use a Cartesian grid, embedded boundary method to resolve complex boundaries. We use a weighted least squares algorithm to solve for our stencils. We use convergence tests to demonstrate accuracy and we show the eigenvalues of the operator to demonstrate stability. We compare accuracy ...
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We present a numerical method for solving Poisson’s equation, with variable coefficients and Dirichlet boundary conditions, on two-dimensional regions. The approach uses a finite-volume discretization, which embeds the domain in a regular Cartesian grid. We treat the solution as a cell-centered quantity, even when those centers are outside the domain. Cells that contain a portion of the domain ...
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We present an algorithm for solving the heat equation on irregular time-dependent domains. It is based on the Cartesian grid embedded boundary algorithm of Johansen and Colella (1998, J. Comput. Phys. 147, 60) for discretizing Poisson’s equation, combined with a second-order accurate discretization of the time derivative. This leads to a method that is second-order accurate in space and time. F...
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ژورنال
عنوان ژورنال: Communications in Applied Mathematics and Computational Science
سال: 2017
ISSN: 2157-5452,1559-3940
DOI: 10.2140/camcos.2017.12.51