3 papers
math.NA2023
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…
math.NA2023
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…
math.NA2023
A method-of-lines framework for energy stable arbitrary Lagrangian-Eulerian methods
Tomas Lundquist, Arnaud Malan, Jan Nordström
We present a novel framework based on semi-bounded spatial operators for analyzing and discretizing initial boundary value problems on moving and deforming domains. This developmen…