6 papers
Error analysis for 3D Navier--Stokes equations with additive noise
Soumya Ranjan Behera, Dominic Breit, Abhishek Chaudhary
We consider the three-dimensional stochastic Navier--Stokes equations with additive stochastic forcing. We study temporal discretizations based on a semi-implicit Euler as well as…
Well-posedness theorems in fluid-structure interaction: perfectly elastic shells
Dominic Breit, Prince Romeo Mensah, Sebastian Schwarzacher +1
In this work, we consider the interaction of a 3D incompressible fluid with a 2D flexible shell that occupies (a part of) the boundary of the fluid domain. We assume that the shell…
A Higher Order Discretization for the Stochastic Navier--Stokes equations with additive Noise
L. Banas, D. Breit, A. Chaudhary +1
We propose a new higher-order time discretization scheme for the stochastic Navier--Stokes equations with additive noise, where its velocity and pressure approximates converge at s…
Compressible Euler equations with transport noise
Richard Boadi, Dominic Breit, Thamsanqa Castern Moyo
We study the isentropic compressible Euler equations in multi-dimensions with stochastic perturbation of transport type. On the one hand, this is motivated by the physical modellin…
Numerical analysis of the stochastic Navier-Stokes equations
Dominic Breit, Andreas Prohl, Jörn Wichmann
The developments over the last five decades concerning numerical discretisations of the incompressible Navier--Stokes equations have lead to reliable tools for their approximation:…
Discontinuous Galerkin methods for the complete stochastic Euler equations
Dominic Breit, Thamsanqa Castern Moyo, Philipp Ãffner
In recent years, stochastic effects have become increasingly relevant for describing fluid behaviour, particularly in the context of turbulence. The most important model for invisc…