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fd_grid_generation.html
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<!doctype html>
<html>
<head>
<!-- Page setup -->
<meta charset="utf-8">
<title>Sam Bellows, Acoustician</title>
<meta name="description" content="Sam Bellows acoustics BYU leishman music acoustician bio contact research projects">
<meta name="author" content="Information about the author here">
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<br>
<h2>Grid Generation for Finite Difference Methods</h2>
<br>
<img src="./img/asteroid.gif" width="300" height="300" class="center">
<p>
An important technique for finite-difference methods (FDM) requires grid generation to create a structured mesh. Whereas finite element methods (FEM)
and boundary element methods (BEM) commonly employ unstructured meshes, finite-difference methods require an underlying grid to numerically estimate derivatives.
Previously, FDM have been restricted to grids based on known coordinate systems, e.g., cartesian or polar coordinates, leading to well-known 'staircase' type grids at irregular boundaries.
However, using curvilinear coordinates, one can generate conformal grids to apply the FDM to arbitrarily shaped domains.
</p>
</div>
</div>
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</html>