Abstract
A method based on a time dependent coordinate transformation has been applied to solve Burgers' equation. The numerical solution has been compared to the analytical solution of Lighthill [1]. The numerical results agree completely with the analytical ones. They have been obtained with very large time steps because a fast implicit non-iterative algorithm has been employed for the time discretization. The number of grid points in the space discretization is very low because the coordinate transformation gives a steady shock in the “new” coordinate.
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References
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© 1985 Springer-Verlag
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Orlandi, P. (1985). Time-dependent non-uniform grids for parabolic equations. In: Soubbaramayer, Boujot, J.P. (eds) Ninth International Conference on Numerical Methods in Fluid Dynamics. Lecture Notes in Physics, vol 218. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-13917-6_177
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DOI: https://doi.org/10.1007/3-540-13917-6_177
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