High order methods for the approximation of the incompressible Navier-Stokes equations in a moving domain
From MaRDI portal
Publication:438090
DOI10.1016/j.cma.2011.09.016zbMath1243.76020OpenAlexW2110063907WikidataQ56996118 ScholiaQ56996118MaRDI QIDQ438090
Christophe Prud'homme, Gonçalo Pena, Alfio M. Quarteroni
Publication date: 20 July 2012
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.2011.09.016
spectral element methodStokes equationsEulerian frameworkincompressible Navieralgebraic factorization methodsarbitrary Lagrangian
Navier-Stokes equations for incompressible viscous fluids (76D05) Spectral methods applied to problems in fluid mechanics (76M22) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70)
Related Items (3)
Function spaces, time derivatives and compactness for evolving families of Banach spaces with applications to PDEs ⋮ Verification and convergence study of a spectral-element numerical methodology for fluid-structure interaction ⋮ Unconstrained vector nonlinear dynamic shell formulation applied to fluid structure interaction
Uses Software
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Finite elements for fluid-structure interaction in ALE and fully Eulerian coordinates
- A spectral element method for fluid dynamics: Laminar flow in a channel expansion
- An explicit construction of interpolation nodes on the simplex
- Cardiovascular mathematics. Modeling and simulation of the circulatory system
- Construction of a high order fluid-structure interaction solver
- Lagrangian-Eulerian finite element formulation for incompressible viscous flows
- Mixed \(hp\) finite element methods for Stokes and non-Newtonian flow
- Analysis of the Yosida method for the incompressible Navier-Stokes equations
- Spectral element solution of steady incompressible viscous free-surface flows
- A new class of truly consistent splitting schemes for incompressible flows
- Factorization methods for the numerical approximation of Navier-Stokes equations
- Improved Lebesgue constants on the triangle
- An arbitrary Lagrangian-Eulerian finite element method for transient dynamic fluid-structure interactions
- Mixed \(hp\) finite element methods for problems in elasticity and Stokes flow
- Stabilized finite element methods for the generalized Oseen problem
- Stability analysis of second-order time accurate schemes for ALE-FEM
- Algebraic fractional-step schemes with spectral methods for the incompressible Navier--Stokes equations
- Numerical solution of the quasilinear Poisson equation in a nonuniform triangle mesh
- Transfinite element methods: Blending-function interpolation over arbitrary curved element domains
- Continuous interior penalty finite element method for the time-dependent Navier-Stokes equations: space discretization and convergence
- An Algorithm for Computing Fekete Points in the Triangle
- Construction of curvilinear co-ordinate systems and applications to mesh generation
- Convergence Analysis of High Order Algebraic Fractional Step Schemes for Time-Dependent Stokes Equations
- Direct Methods for Sparse Linear Systems
- Continuous interior penalty $hp$-finite element methods for advection and advection-diffusion equations
- Gmsh: A 3-D finite element mesh generator with built-in pre- and post-processing facilities
- Mixed and Hybrid Finite Element Methods
- UNIFORM INF–SUP CONDITIONS FOR THE SPECTRAL DISCRETIZATION OF THE STOKES PROBLEM
- Mesh generation in curvilinear domains using high‐order elements
- Velocity-Correction Projection Methods for Incompressible Flows
- Stable Spectral Methods on Tetrahedral Elements
- A uniformly stable family of mixed hp-finite elements with continuous pressures for incompressible flow
- A Preconditioner for the Steady-State Navier--Stokes Equations
- A new triangular and tetrahedral basis for high‐order (hp) finite element methods
- A 3D adaptive mesh moving scheme
- Spectral Methods
- A fast method for solving fluid–structure interaction problems numerically
- Acceleration of a fixed point algorithm for fluid-structure interaction using transpiration conditions
- Spectral Methods
- A Block Preconditioner for High-Order Mixed Finite Element Approximations to the Navier--Stokes Equations
- Pressure Correction Algebraic Splitting Methods for the Incompressible Navier--Stokes Equations
- Error Analysis of Pressure-Correction Schemes for the Time-Dependent Stokes Equations with Open Boundary Conditions
- Efficient preconditioning of the linearized Navier-Stokes equations for incompressible flow
This page was built for publication: High order methods for the approximation of the incompressible Navier-Stokes equations in a moving domain
