Well-posedness, Stability and Conservation for a Discontinuous Interface Problem

• The advection equation is studied in a completely general two domain setting with different wave-speeds and a time-independent jump-condition at the interface separating the domains. Well-posedness and conservation criteria are derived for the initial-boundary-value problem. The equations are semidiscretized using afinite dfference method on summation-by-parts (SBP) form. The stability and conservation properties of the approximation are studied when the boundary and interface conditions are weakly imposed by the simultaneous approximation term (SAT) procedure. Numerical simulations corroborate the theoretical finndings.

Ämnesord

NATURVETENSKAP  -- Matematik -- Beräkningsmatematik (hsv//swe)

NATURAL SCIENCES  -- Mathematics -- Computational Mathematics (hsv//eng)

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