A stable and conservative nonlinear interface coupling for the incompressible Euler equations

• Energy stable and conservative nonlinear weakly imposed interface conditions for the incompressible Euler equations are derived in the continuous setting. By discretely mimicking the continuous analysis using summation-by-parts operators, we prove that the numerical scheme is stable and conservative. The theoretical findings are verified by numerical experiments.

Ämnesord

NATURVETENSKAP  -- Matematik (hsv//swe)

NATURAL SCIENCES  -- Mathematics (hsv//eng)

Nyckelord

Incompressible Euler equations

Nonlinear interface conditions

Stability

Conservation

Summation-by-parts

Publikations- och innehållstyp

ref (ämneskategori)

art (ämneskategori)