Reflections on the evolution of implicit Navier-Stokes algorithms
From MaRDI portal
Publication:365183
DOI10.1016/j.compfluid.2010.09.014zbMath1271.76204OpenAlexW1997048147MaRDI QIDQ365183
Henry McDonald, W. Roger Briley
Publication date: 4 September 2013
Published in: Computers and Fluids (Search for Journal in Brave)
Full work available at URL: http://www.sciencedirect.com/science/article/pii/S0045793010002422
Navier-Stokes equations for incompressible viscous fluids (76D05) Finite difference methods applied to problems in fluid mechanics (76M20) Finite volume methods applied to problems in fluid mechanics (76M12) Gas dynamics (general theory) (76N15) Research exposition (monographs, survey articles) pertaining to fluid mechanics (76-02)
Related Items
An efficient algorithm for the multicomponent compressible Navier-Stokes equations in low- and high-Mach number regimes ⋮ \(L^2\) stability of nonlinear finite-volume schemes for linear hyperbolic systems ⋮ Development and convergence analysis of an effective and robust implicit Euler solver for 3D unstructured grids ⋮ Spectral stability of finite volume schemes for linear hyperbolic systems ⋮ Evaluation of an effective and robust implicit time-integration numerical scheme for Navier-Stokes equations in a CFD solver for compressible flows
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Computational simulation of model and full scale Class 8 trucks with drag reduction devices
- High resolution schemes for hyperbolic conservation laws
- A relaxation approach to patched-grid calculations with the Euler equations
- On the structure and use of linearized block implicit schemes
- Flux vector splitting of the inviscid gasdynamic equations with application to finite-difference methods
- Approximate Riemann solvers, parameter vectors, and difference schemes
- Implicit solvers for unstructured meshes
- An implicit finite-difference algorithm for hyperbolic systems in conservation-law form
- Three-dimensional supersonic flow of a viscous or inviscid gas
- Solution of the multidimensional compressible Navier-Stokes equations by a generalized implicit method
- An implicit upwing algorithm for computing turbulent flows on unstructured grids
- High-resolution viscous flow simulations at arbitrary Mach number.
- Alternating direction implicit techniques for two-dimensional magnetohydrodynamic calculations
- Towards the ultimate conservative difference scheme. V. A second-order sequel to Godunov's method
- A general formulation of alternating direction methods. I: Parabolic and hyperbolic problems
- A numerical method for solving incompressible viscous flow problems
- Implicit Finite-Difference Simulations of Three-Dimensional Compressible Flow
- The Numerical Solution of Parabolic and Elliptic Differential Equations
- Implicit Schemes and LU Decompositions
- Upwind differencing scheme for the time-accurate incompressible Navier-Stokes equations
- Application of time-iterative schemes to incompressible flow
- An implicit LU scheme for the Euler equations applied to arbitrary cascades
- An implicit form for the Osher upwind scheme
- An extension ofA-stability to alternating direction implicit methods
- An Implicit Factored Scheme for the Compressible Navier-Stokes Equations
- Implicit Finite-Difference Procedures for the Computation of Vortex Wakes
- Implicit Finite-Difference Simulation of Flow about Arbitrary Two-Dimensional Geometries
- Implicit upwind solution algorithms for three-dimensional unstructured meshes
- Numerical Differentiation of Analytic Functions
- A numerical study of laminar separation bubbles using the Navier-Stokes equations
- An overview and generalization of implicit Navier-Stokes algorithms and approximate factoriza\-tion.
