collaborators

5 papers

math.NA2025

A Discontinuous Galerkin Consistent Splitting Method for the Incompressible Navier-Stokes Equations

Dominik Still, Natalia Nebulishvili, Richard Schussnig +2

This work presents the discontinuous Galerkin discretization of the consistent splitting scheme proposed by Liu [J. Liu, J. Comp. Phys., 228(19), 2009]. The method enforces the div…

cs.CE2025

Higher-Order Discontinuous Galerkin Splitting Schemes for Fluids with Variable Viscosity

Richard Schussnig, Niklas Fehn, Douglas Ramalho Queiroz Pacheco +1

This article investigates matrix-free higher-order discontinuous Galerkin discretizations of the Navier--Stokes equations for incompressible flows with variable viscosity. The visc…

math.NA2025

A fully segregated and unconditionally stable IMEX scheme for dispersed multiphase flows

Douglas Pacheco, Richard Schussnig

Euler--Euler or volume-averaged Navier--Stokes equations are used in various applications to model systems with two or more interpenetrating phases. Each fluid obeys its own moment…

physics.med-ph2024

Geometric Uncertainty of Patient-Specific Blood Vessels and its Impact on Aortic Hemodynamics

Domagoj Bošnjak, Richard Schussnig, Sascha Ranftl +2

In the context of numerical simulations of the vascular system, local geometric uncertainties have not yet been examined in sufficient detail due to model complexity and the associ…

physics.med-ph2024

SynthAorta: A 3D Mesh Dataset of Parametrized Physiological Healthy Aortas

Domagoj Bošnjak, Gian Marco Melito, Richard Schussnig +2

The effects of the aortic geometry on its mechanics and blood flow, and subsequently on aortic pathologies, remain largely unexplored. The main obstacle lies in obtaining patient-s…