A split-step finite-element method for incompressible Navier-Stokes equations with high-order accuracy up-to the boundary
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Publication:2123341
DOI10.1016/j.jcp.2020.109274OpenAlexW3002897808WikidataQ126303017 ScholiaQ126303017MaRDI QIDQ2123341
Publication date: 8 April 2022
Published in: Journal of Computational Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1902.06773
Navier-Stokes equationsfinite-element methodnormal-mode analysissplit-step methodpressure-Poisson reformulation
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Cites Work
- Unnamed Item
- Unnamed Item
- An analysis of a new stable partitioned algorithm for FSI problems. Part II: Incompressible flow and structural shells
- An analysis of a new stable partitioned algorithm for FSI problems. I: Incompressible flow and elastic solids
- Coupling schemes for incompressible fluid-structure interaction: implicit, semi-implicit and explicit
- Partitioned simulation of fluid-structure interaction. Coupling black-box solvers with quasi-Newton techniques
- Incremental displacement-correction schemes for the explicit coupling of a thin structure with an incompressible fluid
- A pressure-based composite grid method for the Navier--Stokes equations
- A partitioned scheme for fluid-composite structure interaction problems
- A stable partitioned FSI algorithm for incompressible flow and deforming beams
- Stable loosely-coupled-type algorithm for fluid-structure interaction in blood flow
- Stable and accurate pressure approximation for unsteady incompressible viscous flow
- An isoparametric spectral element method for solution of the Navier-Stokes equations in complex geometry
- Application of a fractional-step method to incompressible Navier-Stokes equations
- Boundary conditions for incompressible flows
- Derivative calculation from finite element solutions
- High-order splitting methods for the incompressible Navier-Stokes equations
- A fourth-order-accurate difference approximation for the incompressible Navier-Stokes equations
- A fourth-order accurate method for the incompressible Navier-Stokes equations on overlapping grids
- A stable partitioned FSI algorithm for rigid bodies and incompressible flow. I: Model problem analysis
- A stable partitioned FSI algorithm for rigid bodies and incompressible flow. II: General formulation
- Numerical solutions for the pressure Poisson equation with Neumann boundary conditions using a non-staggered grid. I
- A second-order projection method for the incompressible Navier-Stokes equations
- High-Re solutions for incompressible flow using the Navier-Stokes equations and a multigrid method
- Accurate, stable and efficient Navier-Stokes solvers based on explicit treatment of the pressure term
- Benchmark spectral results on the lid-driven cavity flow
- A stable added-mass partitioned (AMP) algorithm for elastic solids and incompressible flow
- A stable partitioned FSI algorithm for rigid bodies and incompressible flow in three dimensions
- Explicit Robin-Neumann schemes for the coupling of incompressible fluids with thin-walled structures
- Added-mass effect in the design of partitioned algorithms for fluid--structure problems
- A numerical method for solving incompressible viscous flow problems
- Finite Difference Methods for the Stokes and Navier–Stokes Equations
- Numerical Calculation of Time-Dependent Viscous Incompressible Flow of Fluid with Free Surface
- New Finite Element Methods in Computational Fluid Dynamics by H(div) Elements
- Finite Element Methods for Navier-Stokes Equations
- A Second-Order Accurate Pressure-Correction Scheme for Viscous Incompressible Flow
- Splitting Techniques for the Unsteady Stokes Equations
- Reference values for drag and lift of a two‐dimensional time‐dependent flow around a cylinder
- A locally conservative LDG method for the incompressible Navier-Stokes equations
- Projection Method I: Convergence and Numerical Boundary Layers
- Projection Method II: Godunov–Ryabenki Analysis
- A Stable Added-Mass Partitioned (AMP) Algorithm for Elastic Solids and Incompressible Flow: Model Problem Analysis
- Stability and convergence of efficient Navier‐Stokes solvers via a commutator estimate
- Numerical Solution of the Navier-Stokes Equations
- Accurate projection methods for the incompressible Navier-Stokes equations
- Stability of pressure boundary conditions for Stokes and Navier-Stokes equations
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