Solution of moving-boundary problems by the spectral element method
From MaRDI portal
Publication:932755
DOI10.1016/j.apnum.2007.04.009zbMath1140.76029arXiv0709.0355OpenAlexW1968675744MaRDI QIDQ932755
Nicolas Bodard, Roland Bouffanais, Michel O. Deville
Publication date: 11 July 2008
Published in: Applied Numerical Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/0709.0355
Navier-Stokes equations for incompressible viscous fluids (76D05) Spectral methods applied to problems in fluid mechanics (76M22)
Related Items (15)
Unsteady transitional swirling flow in the presence of a moving free surface ⋮ A spectral element method for solving the Pennes bioheat transfer equation by using triangular and quadrilateral elements ⋮ A Legendre spectral element method on a large spatial domain to solve the predator-prey system modeling interacting populations ⋮ Computational performance of a parallelized three-dimensional high-order spectral element toolbox ⋮ Numerical and theoretical discussions for solving nonlinear generalized Benjamin–Bona–Mahony–Burgers equation based on the Legendre spectral element method ⋮ Numerical solution of the time fractional reaction-diffusion equation with a moving boundary ⋮ Application of spectral element method for solving Sobolev equations with error estimation ⋮ Numerical simulation of steady planar die swell for a Newtonian fluid using the spectral element method ⋮ An efficient implicit spectral element method for time-dependent nonlinear diffusion equations by evaluating integrals at one quadrature point ⋮ Simulation of viscous flows with undulatory boundaries. I: Basic solver ⋮ A numerical investigation of the stability of expanding liquid sheets and the influence of boundary conditions ⋮ An averaged vector field Legendre spectral element method for the nonlinear Schrödinger equation ⋮ A conservative scheme for simulation of free-surface turbulent and wave flows ⋮ Solution of moving boundary space-time fractional Burger's equation ⋮ Performance assessment of internal porous structures on liquid sloshing in various 3D tanks by multi-domain IGABEM
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- An analysis of the fractional step method
- A Legendre spectral element method for simulation of unsteady incompressible viscous free-surface flows
- Fast direct Poisson solvers for high-order finite element discretizations in rectangularly decomposable domains
- High-order splitting methods for the incompressible Navier-Stokes equations
- Chebyshev collocation method and multi-domain decomposition for Navier- Stokes equations in complex curved geometries
- Fluid-structure interaction by the spectral element method
- Mesh update techniques for free-surface flow solvers using spectral element method
- Construction of curvilinear co-ordinate systems and applications to mesh generation
- Variational formulation of three‐dimensional viscous free‐surface flows: Natural imposition of surface tension boundary conditions
- High-Order Methods for Incompressible Fluid Flow
- An arbitrary Lagrangian-Eulerian computing method for all flow speeds
- Comments on the fractional step method
This page was built for publication: Solution of moving-boundary problems by the spectral element method
