Comparisons of Galerkin and finite difference methods for solving highly nonlinear thermally driven flows

DOI10.1016/0021-9991(74)90095-3zbMath0288.76017OpenAlexW2045370487MaRDI QIDQ1846783

V. E. Denny, Richard M. Clever

Publication date: 1974

Published in: Journal of Computational Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0021-9991(74)90095-3

Mathematics Subject Classification ID

Incompressible viscous fluids (76D99) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Finite difference methods for boundary value problems involving PDEs (65N06)

Related Items (7)

The onset of turbulence in finite-amplitude Kelvin–Helmholtz billows ⋮ On the convergence of numerical solutions for 2-D flows in a cavity at large Re ⋮ Non-Boussinesq simulations of Rayleigh–Bénard convection in a perfect gas ⋮ Instabilities of longitudinal convection rolls in an inclined layer ⋮ Centered differencing and the box scheme for diffusion convection problems ⋮ The influence of side walls on finite-amplitude convection in a layer heated from below ⋮ Large prandtl number finite-amplitude thermal convection with maxwell viscoelasticity

Cites Work

• Unnamed Item
• Unnamed Item
• The method of weighted residuals and variational principles. With application in fluid mechanics, heat and mass transfer
• Natural convection flow in a finite, rectangular slot arbitrarily oriented with respect to the gravity vector
• Computational design for long-term numerical integration of the equations of fluid motion: two-dimensional incompressible flow. Part I
• Some Further Results on the Bénard Problem
• HEAT TRANSFER BY LAMINAR FREE CONVECTION IN ENCLOSED PLANE GAS LAYERS
• Numerical Solution of the Navier-Stokes Equations for the Flow in a Two-Dimensional Cavity
• Large-amplitude Bénard convection
• On the Stability of Two‐Dimensional Convection in a Layer Heated from Below
• Numerical Solutions of the Navier-Stokes Equations in Inlet Regions
• On the solution of nonlinear hyperbolic differential equations by finite differences

This page was built for publication: Comparisons of Galerkin and finite difference methods for solving highly nonlinear thermally driven flows