A residual-based variational multiscale method with weak imposition of boundary conditions for buoyancy-driven flows

DOI10.1016/j.cma.2019.03.057zbMath1441.76075OpenAlexW2944890021WikidataQ127892569 ScholiaQ127892569MaRDI QIDQ1988048

Baskar Ganapathysubramanian, Boshun Gao, Songzhe Xu, Ming-Chen Hsu

Publication date: 16 April 2020

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.2019.03.057

zbMATH Keywords

buoyancy-driven convectionlarge-eddy simulationweak imposition of boundary conditionsresidual-based variational multiscale

Mathematics Subject Classification ID

Navier-Stokes equations for incompressible viscous fluids (76D05) Finite element methods applied to problems in fluid mechanics (76M10) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60)

Related Items

Finite element methodology for modeling aircraft aerodynamics: development, simulation, and validation ⋮ The actuator line method for wind turbine modelling applied in a variational multiscale framework ⋮ Wall-function-based weak imposition of Dirichlet boundary condition for stratified turbulent flows ⋮ Direct immersogeometric fluid flow and heat transfer analysis of objects represented by point clouds ⋮ A finite element level set method based on adaptive octree meshes for thermal free‐surface flows ⋮ Isogeometric variational multiscale modeling of stably stratified flow over complex terrains ⋮ Photogrammetry-based computational fluid dynamics ⋮ Weakly imposed boundary conditions for shear-rate dependent non-Newtonian fluids: application to cardiovascular flows ⋮ Residual-based closure model for density-stratified incompressible turbulent flows ⋮ Numerical modeling of laminar and chaotic natural convection flows using a non-residual dynamic VMS formulation ⋮ A variational multiscale framework for atmospheric turbulent flows over complex environmental terrains ⋮ An octree-based immersogeometric approach for modeling inertial migration of particles in channels ⋮ Simulation of stably stratified turbulent channel flow using residual-based variational multiscale method and isogeometric analysis ⋮ Variational multiscale framework for cavitating flows

Cites Work

• Unnamed Item
• Unnamed Item
• Computational thermo-fluid analysis of a disk brake
• Engineering analysis and design with ALE-VMS and space-time methods
• Aerodynamic and FSI analysis of wind turbines with the ALE-VMS and ST-VMS methods
• A new class of finite element variational multiscale turbulence models for incompressible magnetohydrodynamics
• The residual-based variational multiscale formulation for the large eddy simulation of compressible flows
• Compressible-flow geometric-porosity modeling and spacecraft parachute computation with isogeometric discretization
• Laminar and turbulent natural convection in an enclosed cavity
• Accurate solutions to the square thermally driven cavity at high Rayleigh number
• Variational multiscale residual-based turbulence modeling for large eddy simulation of incompressible flows
• Weak imposition of Dirichlet boundary conditions in fluid mechanics
• Large eddy simulation of turbulent Taylor-Couette flow using isogeometric analysis and the residual-based variational multiscale method
• Simulation of high Rayleigh number natural convection in a square cavity using the lattice Boltzmann method
• Weak Dirichlet boundary conditions for wall-bounded turbulent flows
• Extension of a hybrid thermal LBE scheme for large-eddy simulations of turbulent convective flows
• Streamline upwind/Petrov-Galerkin formulations for convection dominated flows with particular emphasis on the incompressible Navier-Stokes equations
• Incompressible flow computations with stabilized bilinear and linear equal-order-interpolation velocity-pressure elements
• Direct immersogeometric fluid flow analysis using B-rep CAD models
• Large-eddy simulation with near-wall modeling using weakly enforced no-slip boundary conditions
• The tetrahedral finite cell method for fluids: immersogeometric analysis of turbulent flow around complex geometries
• Modeling of a hydraulic arresting gear using fluid-structure interaction and isogeometric analysis
• A new variational multiscale formulation for stratified incompressible turbulent flows
• FSI simulation of two back-to-back wind turbines in atmospheric boundary layer flow
• Compressible flows on moving domains: stabilized methods, weakly enforced essential boundary conditions, sliding interfaces, and application to gas-turbine modeling
• Isogeometric analysis of multi-phase flows with surface tension and with application to dynamics of rising bubbles
• An immersogeometric variational framework for fluid-structure interaction: application to bioprosthetic heart valves
• Rapid B-rep model preprocessing for immersogeometric analysis using analytic surfaces
• Isogeometric variational multiscale modeling of wall-bounded turbulent flows with weakly enforced boundary conditions on unstretched meshes
• Space-time finite element techniques for computation of fluid-structure interactions
• Über ein Variationsprinzip zur Lösung von Dirichlet-Problemen bei Verwendung von Teilräumen, die keinen Randbedingungen unterworfen sind. (On a variational principle for solving Dirichlet problems less boundary conditions using subspaces)
• Nitsche’s method for general boundary conditions
• Imposing Dirichlet boundary conditions with Nitsche's method and spline-based finite elements
• ST and ALE-VMS methods for patient-specific cardiovascular fluid mechanics modeling
• A steepest gradient method for optimum structural design
• Multiscale space–time methods for thermo-fluid analysis of a ground vehicle and its tires
• ALE–VMS formulation for stratified turbulent incompressible flows with applications
• Numerical computation of high Rayleigh number natural convection and prediction of hot radiator induced room air motion
• The multiscale formulation of large eddy simulation: Decay of homogeneous isotropic turbulence
• Natural convection flow in a square cavity revisited: Laminar and turbulent models with wall functions
• Unified Analysis of Discontinuous Galerkin Methods for Elliptic Problems
• Computational Fluid–Structure Interaction
• Immersogeometric analysis of compressible flows with application to aerodynamic simulation of rotorcraft
• Large eddy simulation and the variational multiscale method