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.

Subject headings

NATURVETENSKAP  -- Matematik (hsv//swe)

NATURAL SCIENCES  -- Mathematics (hsv//eng)

Keyword

Incompressible Euler equations

Nonlinear interface conditions

Stability

Conservation

Summation-by-parts

Publication and Content Type

ref (subject category)

art (subject category)