Energy-stable boundary conditions based on a quadratic form: applications to outflow/open-boundary problems in incompressible flows
DOI10.1016/j.jcp.2019.04.030zbMath1452.76099arXiv1807.07056OpenAlexW2883983255WikidataQ128013120 ScholiaQ128013120MaRDI QIDQ2221392
Naxian Ni, Suchuan Dong, ZhiGuo Yang
Publication date: 26 January 2021
Published in: Journal of Computational Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1807.07056
energy balanceopen boundary conditionenergy stabilityoutflow boundary conditionbackflow instabilityenergy stable boundary condition
Navier-Stokes equations for incompressible viscous fluids (76D05) Eigenvalues, singular values, and eigenvectors (15A18) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Finite element methods applied to problems in fluid mechanics (76M10) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60)
Related Items (5)
Cites Work
- Unnamed Item
- Unnamed Item
- A robust and accurate outflow boundary condition for incompressible flow simulations on severely-truncated unbounded domains
- A tangential regularization method for backflow stabilization in hemodynamics
- A pressure correction scheme for generalized form of energy-stable open boundary conditions for incompressible flows
- An outflow boundary condition and algorithm for incompressible two-phase flows with phase field approach
- An eigen-based high-order expansion basis for structured spectral elements
- Artificial boundaries and formulations for the incompressible Navier-Stokes equations: applications to air and blood flows
- On pressure boundary conditions for steady flows of incompressible fluids with pressure and shear rate dependent viscosities.
- A comparison of outlet boundary treatments for prevention of backflow divergence with relevance to blood flow simulations
- Patient-specific isogeometric fluid-structure interaction analysis of thoracic aortic blood flow due to implantation of the Jarvik 2000 left ventricular assist device
- A triangular spectral element method; applications to the incompressible Navier-Stokes equations.
- A roadmap to well posed and stable problems in computational physics
- Multiphase flows of \(N\) immiscible incompressible fluids: an outflow/open boundary condition and algorithm
- A convective-like energy-stable open boundary condition for simulations of incompressible flows
- A Stokes-residual backflow stabilization method applied to physiological flows
- On the existence of a weak solution of viscous incompressible flow past a cascade of profiles with an arbitrarily large inflow
- A novel formulation for Neumann inflow boundary conditions in biomechanics
- Experiments on the flow past a circular cylinder at low Reynolds numbers
- A combined direct numerical simulation–particle image velocimetry study of the turbulent near wake
- Experiments on the flow past a circular cylinder at very high Reynolds number
- Résumé and remarks on the open boundary condition minisymposium
- Effective downstream boundary conditions for incompressible Navier–Stokes equations
- Energy stable boundary conditions for the nonlinear incompressible Navier–Stokes equations
- Direct numerical simulation of stenotic flows. Part 1. Steady flow
- Direct numerical simulation of turbulent Taylor–Couette flow
- ARTIFICIAL BOUNDARIES AND FLUX AND PRESSURE CONDITIONS FOR THE INCOMPRESSIBLE NAVIER-STOKES EQUATIONS
- New efficient boundary conditions for incompressible Navier-Stokes equations : a well-posedness result
- Spectral/hp Element Methods for Computational Fluid Dynamics
This page was built for publication: Energy-stable boundary conditions based on a quadratic form: applications to outflow/open-boundary problems in incompressible flows