Restoring monotonicity of slowly-moving shocks computed with Godunov-type schemes

摘要

We tackle, using the Isothermal Gas Equations, the problem of loss ofmonotonicity behind slowly moving shock waves as computed byGodunov-type schemes. A parameter by which slow-shocks can bedetected within a flow-field is presented, along with a modification ofGodunov’s scheme that introduces numerical dissipation into the flow todamp the oscillations. We also extend the scheme to second order insmooth flow.