2 citations · 2 across the 5 of their papers we have counts for
5 papers
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…
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…
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…
An SBP-SAT Continuous Galerkin Finite Element Formulation for Smooth and Discontinuous Fields
Arnaud G. Malan, Jan Nordstrom
The high-order accurate continuous Galerkin finite element method offers attractive computational efficiency for computational fluid dynamics. A challenge is however spurious oscil…
A provably stable and high-order accurate finite difference approximation for the incompressible boundary layer equations
Mojalefa P. Nchupang, Arnaud G. Malan, Fredrik Laurén +1
In this article we develop a high order accurate method to solve the incompressible boundary layer equations in a provably stable manner.~We first derive continuous energy estimate…