6 papers
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…
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…
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…
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…
Matrix-Free Higher-Order Finite Element Methods for Hyperelasticity
Richard Schussnig, Niklas Fehn, Peter Munch +1
This work presents a matrix-free finite element solver for finite-strain elasticity adopting an -multigrid preconditioner. Compared to classical algorithms relying on a global…
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…