Energy stable boundary conditions for the nonlinear incompressible Navier–Stokes equations
DOI10.1090/mcom/3375zbMath1405.65107OpenAlexW2749971079WikidataQ129845581 ScholiaQ129845581MaRDI QIDQ4561367
Jan Nordström, Cristina La Cognata
Publication date: 5 December 2018
Published in: Mathematics of Computation (Search for Journal in Brave)
Full work available at URL: http://urn.kb.se/resolve?urn=urn:nbn:se:liu:diva-153296
stabilityNavier-Stokes equationsboundary conditionsenergy estimatehigh-order accuracydivergence freeincompressiblesummation-by-parts
PDEs in connection with fluid mechanics (35Q35) Navier-Stokes equations for incompressible viscous fluids (76D05) Finite difference methods applied to problems in fluid mechanics (76M20) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Initial-boundary value problems for mixed-type systems of PDEs (35M33)
Related Items (19)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Summation-by-parts in time
- A robust and accurate outflow boundary condition for incompressible flow simulations on severely-truncated unbounded domains
- Review of summation-by-parts schemes for initial-boundary-value problems
- The SBP-SAT technique for initial value problems
- Weak and strong wall boundary procedures and convergence to steady-state of the Navier-Stokes equations
- High-order accurate solution of the incompressible Navier--Stokes equations
- Conservative finite difference formulations, variable coefficients, energy estimates and artificial dissipation
- A stable high-order finite difference scheme for the compressible Navier-Stokes equations: No-slip wall boundary conditions
- A stable and conservative high order multi-block method for the compressible Navier-Stokes equations
- Application of a fractional-step method to incompressible Navier-Stokes equations
- Some current CFD issues relevant to the incompressible Navier-Stokes equations
- Summation by parts for finite difference approximations for \(d/dx\)
- Time-stable boundary conditions for finite-difference schemes solving hyperbolic systems: Methodology and application to high-order compact schemes
- A fourth-order accurate method for the incompressible Navier-Stokes equations on overlapping grids
- Boundary conditions and estimates for the linearized Navier--Stokes equations on staggered grids
- Interior penalties for summation-by-parts discretizations of linear second-order differential equations
- An entropy stable nodal discontinuous Galerkin method for the two dimensional shallow water equations on unstructured curvilinear meshes with discontinuous bathymetry
- On conservation and stability properties for summation-by-parts schemes
- A roadmap to well posed and stable problems in computational physics
- Boundary conditions for open boundaries for the incompressible Navier- Stokes equation
- Finite volume methods, unstructured meshes and strict stability for hyperbolic problems
- Finite element modeling of blood in arteries
- Summation by parts operators for finite difference approximations of second derivatives
- The use of characteristic boundary conditions for the Navier-Stokes equations
- A new high order energy and enstrophy conserving Arakawa-like Jacobian differential operator
- Summation-by-parts operators for correction procedure via reconstruction
- Boundary conditions for a divergence-free velocity-pressure formulation of the Navier-Stokes equations
- A stable high-order finite difference scheme for the compressible Navier-Stokes equations, far-field boundary conditions
- Discretely conservative finite-difference formulations for nonlinear conservation laws in split form: theory and boundary conditions
- Energy stable flux reconstruction schemes for advection-diffusion problems
- Spectral methods on arbitrary grids
- A Skew-Symmetric Discontinuous Galerkin Spectral Element Discretization and Its Relation to SBP-SAT Finite Difference Methods
- Entropy Stable Spectral Collocation Schemes for the Navier--Stokes Equations: Discontinuous Interfaces
- High-Order Implicit Time-Marching Methods Based on Generalized Summation-By-Parts Operators
- The Fringe Region Technique and the Fourier Method Used in the Direct Numerical Simulation of Spatially Evolving Viscous Flows
- The Accuracy of the Fractional Step Method
- Unified Analysis of Discontinuous Galerkin Methods for Elliptic Problems
- Atmospheric and Oceanic Fluid Dynamics
- Initial-Boundary Value Problems and the Navier-Stokes Equations
- A Stable Penalty Method for the Compressible Navier–Stokes Equations: I. Open Boundary Conditions
- ARTIFICIAL BOUNDARIES AND FLUX AND PRESSURE CONDITIONS FOR THE INCOMPRESSIBLE NAVIER-STOKES EQUATIONS
- Well-Posed Boundary Conditions for the Navier--Stokes Equations
- Multidimensional Summation-by-Parts Operators: General Theory and Application to Simplex Elements
- Boundary conditions and estimates for the steady Stokes equations on staggered grids
- Stability of pressure boundary conditions for Stokes and Navier-Stokes equations
- On the coupling of 3D and 1D Navier-Stokes equations for flow problems in compliant vessels
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