A matrix-free, implicit, incompressible fractional-step algorithm for fluid-structure interaction applications. - Oliver F. Oxtoby; Arnaud G. Malan (J. Comput. Phys., 2012)

A weakly compressible free-surface flow solver for liquid-gas systems using the volume-of-fluid approach. - Johan A. Heyns; Arnaud G. Malan; Thomas M. Harms; Oliver F. Oxtoby (J. Comput. Phys., 2013)

A hybrid framework for coupling arbitrary summation-by-parts schemes on general meshes. - Tomas Lundquist; Arnaud G. Malan; Jan Nordström (J. Comput. Phys., 2018)

A novel finite volume discretization method for advection-diffusion systems on stretched meshes. - D. G. Merrick; Arnaud G. Malan; J. A. van Rooyen (J. Comput. Phys., 2018)

A higher-order accurate surface tension modelling volume-of-fluid scheme for 2D curvilinear meshes. - Niran A. Ilangakoon; Arnaud G. Malan; Bevan W. S. Jones (J. Comput. Phys., 2020)

Efficient and error minimized coupling procedures for unstructured and moving meshes. - Tomas Lundquist; Arnaud G. Malan; Jan Nordström (J. Comput. Phys., 2020)

A geometric VOF method for interface resolved phase change and conservative thermal energy advection. - L. C. Malan; Arnaud G. Malan; Stéphane Zaleski; P. G. Rousseau (J. Comput. Phys., 2021)

Stable Dynamical Adaptive Mesh Refinement. - Tomas Lundquist; Jan Nordström; Arnaud G. Malan (J. Sci. Comput., 2021)

Effect of Pulsatility on the Transport of Thrombin in an Idealized Cerebral Aneurysm Geometry. - Struan Hume; Jean-Marc Ilunga Tshimanga; Patrick Henry Geoghegan; Arnaud G. Malan; Wei Hua Ho; Malebogo N. Ngoepe (Symmetry, 2022)

A provably stable and high-order accurate finite difference approximation for the incompressible boundary layer equations. - Mojalefa P. Nchupang; Arnaud G. Malan; Fredrik Laurén; Jan Nordström (CoRR, 2023)

An SBP-SAT Continuous Galerkin Finite Element Formulation for Smooth and Discontinuous Fields. - Arnaud G. Malan; Jan Nordström (CoRR, 2023)

A Method-of-Lines Framework for Energy Stable Arbitrary Lagrangian-Eulerian Methods. - Tomas Lundquist; Arnaud G. Malan; Jan Nordström (SIAM J. Numer. Anal., 2023)

An Energy Stable Nonlinear Incompressible Multi-Phase Flow Formulation. - Jan Nordström; Arnaud G. Malan (CoRR, 2024)

An energy stable incompressible multi-phase flow formulation. - Jan Nordström; Arnaud G. Malan (J. Comput. Phys., 2025)