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What is Artificial Viscosity in Advection Equations about?

The document discusses how oversampling when numerically solving partial differential equations can introduce artificial viscosity that dissipates the propagating wave. It uses the example of solving the advection equation, where decreasing the time step below the Courant-Friedrichs-Lewy limit causes the artificial viscosity from the spatial discretization to overwhelm the solution. Plots show how the numerical solution is quickly damped compared to the analytic solution as the time step shrinks.

Author

Daniel Topa

Language

EN