The spatial operator in the incompressible Navier-Stokes, Oseen and Stokes equations
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Publication:2309348
DOI10.1016/j.cma.2020.112857zbMath1436.76006OpenAlexW3006143776MaRDI QIDQ2309348
Publication date: 31 March 2020
Published in: Computer Methods in Applied Mechanics and Engineering (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.cma.2020.112857
singularitieseigenvalue problemincompressible Navier-Stokes equationsStokes equationsOseen equationssemi-bounded operators
Navier-Stokes equations for incompressible viscous fluids (76D05) Finite difference methods applied to problems in fluid mechanics (76M20) Stokes and related (Oseen, etc.) flows (76D07) 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)
Related Items (7)
Spectral properties of the incompressible Navier-Stokes equations ⋮ Nonlinear and linearised primal and dual initial boundary value problems: when are they bounded? How are they connected? ⋮ Energy stable wall modeling for the Navier-Stokes equations ⋮ A linear and nonlinear analysis of the shallow water equations and its impact on boundary conditions ⋮ A multi-domain summation-by-parts formulation for complex geometries ⋮ A provably stable and high-order accurate finite difference approximation for the incompressible boundary layer equations ⋮ Nonlinear boundary conditions for initial boundary value problems with applications in computational fluid dynamics
Cites Work
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- 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
- Weak and strong wall boundary procedures and convergence to steady-state of the Navier-Stokes equations
- An improved finite element space for discontinuous pressures
- A spectrally accurate method for overlapping grid solution of incompressible Navier-Stokes equations
- 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
- Integral conditions for the pressure in the computation of incompressible viscous flows
- Time-stable boundary conditions for finite-difference schemes solving hyperbolic systems: Methodology and application to high-order compact schemes
- Calculation of incompressible viscous flows by an unconditionally stable projection FEM
- Boundary conditions and estimates for the linearized Navier--Stokes equations on staggered grids
- A compact higher-order finite difference method for the incompressible Navier-Stokes equations
- Review of summation-by-parts operators with simultaneous approximation terms for the numerical solution of partial differential equations
- A high-order semi-explicit discontinuous Galerkin solver for 3D incompressible flow with application to DNS and LES of turbulent channel flow
- A roadmap to well posed and stable problems in computational physics
- On long time error bounds for the wave equation on second order form
- Finite volume methods, unstructured meshes and strict stability for hyperbolic problems
- Isogeometric divergence-conforming variational multiscale formulation of incompressible turbulent flows
- 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
- Error boundedness of discontinuous Galerkin spectral element approximations of hyperbolic problems
- 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
- Numerical solution of saddle point problems
- Preconditioned Nullspace Method for the Two-Dimensional Oseen Problem
- Error Bounded Schemes for Time-dependent Hyperbolic Problems
- Numerical Solution of Navier–Stokes Problems by the Dual Variable Method
- Stabilized Finite Element Formulations for Incompressible Flow Computations
- An Efficient Iterative Method for the Generalized Stokes Problem
- Unified Analysis of Discontinuous Galerkin Methods for Elliptic Problems
- Energy stable boundary conditions for the nonlinear incompressible Navier–Stokes equations
- Least-Squares Methods for Incompressible Newtonian Fluid Flow: Linear Stationary Problems
- A Stable Penalty Method for the Compressible Navier–Stokes Equations: I. Open Boundary Conditions
- New efficient boundary conditions for incompressible Navier-Stokes equations : a well-posedness result
- Boundary conditions and estimates for the steady Stokes equations on staggered grids
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