An overview and generalization of implicit Navier-Stokes algorithms and approximate factoriza\-tion.
From MaRDI portal
Publication:5953195
DOI10.1016/S0045-7930(01)00030-5zbMath1056.76060MaRDI QIDQ5953195
Henry McDonald, W. Roger Briley
Publication date: 2001
Published in: Computers and Fluids (Search for Journal in Brave)
Navier-Stokes equations for incompressible viscous fluids (76D05) Finite difference methods applied to problems in fluid mechanics (76M20) Gas dynamics (general theory) (76N15) Research exposition (monographs, survey articles) pertaining to fluid mechanics (76-02)
Related Items
Convergence acceleration for subiterative DDADI/ D3ADI using multiblock implicit boundary condition, Time-implicit gas-kinetic scheme, Solution-limited time stepping to enhance reliability in CFD applications, Reflections on the evolution of implicit Navier-Stokes algorithms, A residual-based compact scheme of optimal order for hyperbolic problems, Implicit multigrid schemes for challenging aerodynamic simulations on block-structured grids, Approximate factorization for a viscous wave equation, An implicit low-diffusive HLL scheme with complete time linearization: application to cavitating barotropic flows, Iterative and noniterative, full and approximate factorization methods for multidimensional reaction-diffusion equations, Linearly-implicit, approximate factorization, exponential methods for multidimensional reaction-diffusion equations, An implicit compact scheme solver with application to chemically reacting flows, Large stencil viscous flux linearization for the simulation of 3D compressible turbulent flows with backward-Euler schemes, Reactive‐diffusive phenomena in two‐dimensional, anisotropic media, Improved accuracy for the approximate factorization of parabolic equations, An implicit compact scheme solver for two-dimensional multicomponent flows, High-resolution viscous flow simulations at arbitrary Mach number.
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Newton's method applied to finite-difference approximations for the steady-state compressible Navier-Stokes equations
- High resolution schemes for hyperbolic conservation laws
- A relaxation approach to patched-grid calculations with the Euler equations
- A diagonal algorithm for the method of pseudocompressibility
- On the structure and use of linearized block implicit schemes
- Flux vector splitting of the inviscid gasdynamic equations with application to finite-difference methods
- A diagonal form of an implicit approximate-factorization algorithm
- Approximate Riemann solvers, parameter vectors, and difference schemes
- An implicit finite-difference algorithm for hyperbolic systems in conservation-law form
- Three-dimensional supersonic flow of a viscous or inviscid gas
- Random choice solution of hyperbolic systems
- Solution of the multidimensional compressible Navier-Stokes equations by a generalized implicit method
- An implicit upwing algorithm for computing turbulent flows on unstructured grids
- Implicit lower-upper/approximate-factorization schemes for incompressible flows
- 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
- On the Numerical Integration of $\frac{\partial ^2 u}{\partial x^2 } + \frac{\partial ^2 u}{\partial y^2 } = \frac{\partial u}{\partial t}$ by Implicit Methods
- Implicit Schemes and LU Decompositions
- Upwind differencing scheme for the time-accurate incompressible Navier-Stokes equations
- Application of time-iterative schemes to incompressible flow
- A three-dimensional incompressible Navier-Stokes flow solver using primitive variables
- An implicit form for the Osher upwind scheme
- An extension ofA-stability to alternating direction implicit methods
- Alternating Direction Implicit Methods for Parabolic Equations with a Mixed Derivative
- Diagonalization and Simultaneous Symmetrization of the Gas-Dynamic Matrices
- 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
- Upwind relaxation algorithms for the Navier-Stokes equations
- Direct and iterative algorithms for the three-dimensional Euler equations
- A computational method for viscous flow problems
- Solutions in the large for nonlinear hyperbolic systems of equations
- A numerical study of laminar separation bubbles using the Navier-Stokes equations
- On the solution of nonlinear hyperbolic differential equations by finite differences