Journal ArticleDOI
High‐order accurate iterative solution of the Navier–Stokes equations for incompressible flows
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In this paper, an iterative solution scheme for the incompressible Navier-Stokes equations is presented, which is split into inner and outer iteration cycles, such that the momentum and continuity equations are satisfied within prescribed accuracy.Citations
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Direct numerical simulations of particle transport in a model estuary
TL;DR: In this article, the mixing of freshwater with ambient saltwater in a model estuary along with associated particle settling processes is investigated numerically, and the particle settling process under the influence of turbulence arising in the freshwater/saltwater-stratified mixing is illustrated.
Book ChapterDOI
Simulation of Gravity-Driven Flows Using an Iterative High-Order Accurate Navier–Stokes Solver
Rolf Henniger,Leonhard Kleiser +1 more
TL;DR: In this paper, the spatial growth of disturbances imposed at the inflow in 2D and 3D stratified mixing layer configurations was investigated by DNS, and the results were found to be strongly influenced by the choice of the infflow setup, especially the disturbance type and magnitude.
Book ChapterDOI
An Immersed Boundary Method Based on the L 2 -Projection Approach
Maria Giuseppina Chiara Nestola,Barna Errol Mario Becsek,Hadi Zolfaghari,Patrick Zulian,Dominik Obrist,Rolf Krause +5 more
TL;DR: A framework for Fluid-Structure Interaction simulations taking inspiration from the Immersed Boundary technique and using the finite element method for discretizing the equations of the solid structure and the finite difference method to discretize the fluid flow.
GPU-accelerated Immersed Boundary Method for the efficient simulation of biomedical fluid-structure interactions
Hadi Zolfaghari,Barna Errol Mario Becsek,Maria Giuseppina Chiara Nestola,Rolf Krause,Dominik Obrist +4 more
TL;DR: Resorting to a fixed Eulerian grid for the flow simulation along with the immersed boundary method to model the interaction with the soft tissue eliminates the expensive mesh generation and updating costs.
References
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Journal ArticleDOI
A calculation procedure for heat, mass and momentum transfer in three-dimensional parabolic flows
S.V. Patankar,D. B. Spalding +1 more
TL;DR: In this article, a general, numerical, marching procedure is presented for the calculation of the transport processes in three-dimensional flows characterised by the presence of one coordinate in which physical influences are exerted in only one direction.
Journal ArticleDOI
Preconditioning for the Steady-State Navier--Stokes Equations with Low Viscosity
TL;DR: A preconditioner for the linearized Navier--Stokes equations that is effective when either the discretization mesh size or the viscosity approaches zero is introduced and it is demonstrated empirically that convergence depends only mildly on these parameters.
Journal ArticleDOI
High order accurate solution of the incompressible Navier-Stokes equations
TL;DR: The incompressible Navier-Stokes equations are discretized in space by a compact fourth order finite difference method on a staggered grid and the method is used to compute the flow in a channel, the driven cavity and a constricted channel.