Numerical Solution of the Burgers’ Equation for a Sine Input Function

The numerical integration of the Burgers’ equation with a half-sine wave at time t=0 is shown below. 120 elements were used to integrate the solution, with Re=1000. The MOL approach was used to convert the PDE’s to ODE’s. The ODE’s were integrated using the Rosenbrock technique with the VELDS coefficients.