2D Spectral Element Scheme for Viscous Burgers' Equation

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$OP-SF NET - Math, Statistics, and Computational Science$

$Volume 17, Number 1 - Math, Statistics, and Computational Science ...$

AMSC 664: 2D Spectral Element Scheme for Viscous Burgers’ Equation 6 ● Spatial Discretization- Basis Functions Figure 1: A. GLL Spatial Discretization with 2 elements and 5th degree Polynomials B. GLL Polynomials of degree 1 through 10 P. Aaron Lott palott@ipst.umd.edu
AMSC 664: 2D Spectral Element Scheme for Viscous Burgers’ Equation 7 Spatial Discretization ● The discretized equation can be written as a non-linear differential equation M ˙u(t) = −C(u)u(t) − νKu(t) (4) ● M- Mass matrix, K- Stiffness matrix and C(u) is the nonlinear discrete operator. Each of which are block diagonal matrices. ● So to solve for u(x,t) we will integrate these equations in time. P. Aaron Lott palott@ipst.umd.edu
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2D Spectral Element Scheme for Viscous Burgers' Equation

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