DescriptionInviscid Burgers Equation in Two Dimensions.gif
English: This is a numerical simulation of the inviscid Burgers Equation in two space variables up until the time of shock formation. The height is modelled by the conservation law ut + u*ux + u*uy = 0. Spatial discretization is spectral (fourier methods) and time discretization is second order accurate. The initial condition is given by u(x,0) = (1/40)*exp(-(x-pi)^2 -(y-pi)^2). ie - a gaussian bump centred in the middle of the domain [0,2pi]x[0,2pi].
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