3 papers
math.NA2026
A high order accurate and energy stable continuous Galerkin framework on summation-by-parts form for the incompressible Navier-Stokes equations
Mrityunjoy Mandal, Arnaud G Malan, Prince Nchupang +1
This paper presents a high-order accurate Continuous Galerkin Finite Element Method (CGFEM) for solving the initial boundary value problems governed by the Incompressible Navier-St…
math-ph2026
A high order accurate and provably stable fully discrete continuous Galerkin framework on summation-by-parts form for advection-diffusion equations
Mrityunjoy Mandal, Jan Nordström, Arnaud G Malan
We present a high-order accurate fully discrete numerical scheme for solving Initial Boundary Value Problems (IBVPs) within the Continuous Galerkin (CG)-based Finite Element framew…
math.AP2024
An Energy Stable Nonlinear Incompressible Multi-Phase Flow Formulation
Jan Nordström, Arnaud. G. Malan
We show that a reformulation of the governing equations for incompressible multi-phase flow in the volume of fluid setting leads to a well defined energy rate. Weak nonlinear inflo…