3 papers
math.NA2026
Convergence of a Finite Volume Scheme for the Navier-Stokes-Korteweg Model via Dissipative Solutions
Jan Giesselmann, Philipp Ãffner, Robert Sauerborn
We propose a concept of dissipative weak (DW) solutions for the Navier-Stokes-Korteweg (NSK) system and prove conditional convergence of a structure-preserving finite volume scheme…
math.NA2026
Convergence analysis for a finite-volume scheme for the Euler- and Navier-Stokes-Korteweg system via energy-variational solutions
Thomas Eiter, Jan Giesselmann, Robert Lasarzik +2
We consider a structure-preserving finite-volume scheme for the Euler-Korteweg (EK) and Navier-Stokes-Korteweg (NSK) equations. We prove that its numerical solutions converge to en…
math.NA2026
A Structure Preserving Finite Volume Scheme for the Navier-Stokes-Korteweg Equations
Jan Giesselmann, Philipp Ãffner, Robert Sauerborn
We present a semi-discrete finite volume scheme for the local NavierStokes-Korteweg and Euler-Korteweg systems. Our scheme is applicable for equidistant Cartesian meshes in one and…