Finite elements and object-oriented implementation techniques in computational fluid dynamics

Other programming paradigms (object-oriented, sequential, concurrent, automatic, etc.) (68N19) Navier-Stokes equations for incompressible viscous fluids (76D05) Finite element methods applied to problems in fluid mechanics (76M10)

Related Items (1)

Flows of real gas in nozzles with unsteady local energy supply

Uses Software

Diffpack
UG

Cites Work

Compressible and incompressible flow: An algorithm for all seasons
Computing interface motion in compressible gas dynamics
A numerical solution of the Navier-Stokes equations using the finite element technique
Computational partial differential equations. Numerical methods and Diffpack programming
A level set approach for computing solutions to incompressible two-phase flow
Scientific computing in object-oriented parallel environments. 1st international conference, ISCOPE 97. Marina del Rey, CA, USA, December 8--11, 1997. Proceedings
High-Re solutions for incompressible flow using the Navier-Stokes equations and a multigrid method
The second-order projection method for the backward-facing step flow
A numerical method for solving incompressible viscous flow problems
A finite element method for the three-dimensional non-steady Navier-Stokes equations
A fractional‐step Taylor–Galerkin method for unsteady incompressible flows
Solution techniques for the vorticity–streamfunction formulation of two‐dimensional unsteady incompressible flows
Finite element solution of the Navier–Stokes equations by a velocity–vorticity method
Finite element analysis of density flow using the velocity correction method
On pressure boundary conditions for the incompressible Navier-Stokes equations
The cause and cure (?) of the spurious pressures generated by certain FEM solutions of the incompressible Navier-Stokes equations: Part 1
Old and new finite elements for incompressible flows
An approximately divergence-free 9-node velocity element (with variations) for incompressible flows
On penalty function methods in the finite-element analysis of flow problems
Consistent vs. reduced integration penalty methods for incompressible media using several old and new elements
A finite element scheme based on the velocity correction method for the solution of the time‐dependent incompressible Navier‐Stokes equations
A Helmholtz pressure equation method for the calculation of unsteady incompressibl eviscous flows
A preconditioned conjugate gradient Uzawa-type method for the solution of the stokes problem by mixed Q1-P0 stabilized finite elements
Incompressibility without tears—HOW to avoid restrictions of mixed formulation
The construction of an optimal weakly divergence‐free macroelement
A finite element solution of the time‐dependent incompressible Navier–Stokes equations using a modified velocity correction method
Tools for simulating non‐stationary incompressible flow via discretely divergence‐free finite element models
Object-oriented design of preconditioned iterative methods in diffpack
A general algorithm for compressible and incompressible flows. Part III: The semi-implicit form
A little more on stabilized Q₁Q₁ for transient viscous incompressible flow
Comparison between the traction and pressure‐imposed boundary conditions in finite element flow analysis
An element level zero‐divergence finite element approach
A Numerical Method for the Incompressible Navier-Stokes Equations Based on an Approximate Projection
Finite element solution of the incompressible Navier‐Stokes equations by a Helmholtz velocity decomposition
Solving systems of partial differential equations using object-oriented programming techniques with coupled heat and fluid flow as example
Numerical Solution of the Navier-Stokes Equations
AN APPROXIMATE PROJECTION SCHEME FOR INCOMPRESSIBLE FLOW USING SPECTRAL ELEMENTS
Incompressible flow computations based on the vorticity-stream function and velocity-pressure formulations
Incompressible Computational Fluid Dynamics
UG -- a flexible software toolbox for solving partial differential equations
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