2D Spectral Element Scheme for Viscous Burgers' Equation
2D Spectral Element Scheme for Viscous Burgers' Equation
2D Spectral Element Scheme for Viscous Burgers' Equation
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AMSC 664: <strong>2D</strong> <strong>Spectral</strong> <strong>Element</strong> <strong>Scheme</strong> <strong>for</strong> <strong>Viscous</strong> Burgers’ <strong>Equation</strong> 9<br />
Time Discretization<br />
● In order to obtain a stable solution in time, one considers the<br />
eigenvalues of the operators acting on u, and makes certain that<br />
the time marching scheme is stable in this region.<br />
● In our system, C and K act on u<br />
●<br />
Figure 3: Eigenvalues of the Diffusion and Convection operators<br />
P. Aaron Lott palott@ipst.umd.edu
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