System and Method for Determining Heat and Fluid Flow in or Around Objects
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United States of America Patent
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May 28, 2015
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Jun 2, 2014
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A system includes a processor with stored instructions for generating a Cartesian mesh model of a bounded or unbounded object domain. The model includes active, inactive and boundary nodes which encompass the domain. The processor effects of discretizing a partial differential equation based on a stencil associated with each active node in the mesh by (i) selecting an active node, (ii) identifying the stencil associated with the selected node, (iii) mapping the stencil from the physical domain to a generic uniform computational stencil, (iv) applying finite difference formulas on the computational stencil to approximate the partial differential equation by a finite difference equation, (v) solving the finite difference equation to obtain an approximate value for the solution, and thereafter (vi) checking the iteration process for convergence. If the solution has not converged, the system repeats the aforementioned steps, or terminates the iteration process if the solution has converged, and outputs to a user the calculated data file.
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