Algebraic approximation of sub-grid scales for the variational multiscale modeling of transport problems
DOI10.1016/j.cma.2016.03.041zbMath1436.76031OpenAlexW2320975758MaRDI QIDQ2309197
Juan Pablo Trelles, S. Mahnaz Modirkhazeni
Publication date: 30 March 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.2016.03.041
stabilized finite element methodtransport problemvariational multiscalemagnetofluiddynamicsincompressible-compressible flowintrinsic time scales
Navier-Stokes equations for incompressible viscous fluids (76D05) Finite element methods applied to problems in fluid mechanics (76M10) Magnetohydrodynamics and electrohydrodynamics (76W05) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60)
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Cites Work
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- 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
- Approximation of the inductionless MHD problem using a stabilized finite element method
- Accurate three-dimensional lid-driven cavity flow
- A consistent approximate upwind Petrov-Galerkin method for convection- dominated problems
- Stabilized finite element method for incompressible flows with high Reynolds number
- Stabilized methods for compressible flows
- Spatial approximation of the radiation transport equation using a subgrid-scale finite element method
- Finite element methods for time-dependent convection-diffusion-reaction equations with small diffusion
- Approximation of the incompressible Navier-Stokes equations using orthogonal subscale stabilization and pressure segregation on anisotropic finite element meshes
- Finite element methods for first-order hyperbolic systems with particular emphasis on the compressible Euler equations
- Variational multiscale residual-based turbulence modeling for large eddy simulation of incompressible flows
- A consistent dynamic localization model for large eddy simulation of turbulent flows based on a variational formulation
- A new finite element formulation for computational fluid dynamics. VIII. The Galerkin/least-squares method for advective-diffusive equations
- Variational multiscale methods for incompressible flows
- Compressible flow SUPG stabilization parameters computed from degree-of-freedom submatrices
- Variational multiscale large eddy simulation of turbulent flow in a diffuser
- On spurious oscillations at layers diminishing (SOLD) methods for convection-diffusion equations. I: A review
- Time dependent subscales in the stabilized finite element approximation of incompressible flow problems
- A new finite element formulation for computational fluid dynamics. IV: A discontinuity-capturing operator for multidimensional advective-diffusive systems
- Discontinuity-capturing finite element formulations for nonlinear convection-diffusion-reaction equations
- Petrov-Galerkin formulations with weighting functions dependent upon spatial and temporal discretization: Applications to transient convection-diffusion problems
- A new finite element formulation for computational fluid dynamics. II. Beyond SUPG
- A new finite element formulation for computational fluid dynamics. III: The generalized streamline operator for multidimensional advective- diffusive systems
- A new finite element formulation for computational fluid dynamics. V: Circumventing the Babuška-Brezzi condition: A stable Petrov-Galerkin formulation of the Stokes problem accommodating equal-order interpolations
- 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
- Stabilized finite element methods. I.: Application to the advective- diffusive model
- A unified method for computing incompressible and compressible flows in boundary-fitted coordinates
- The variational multiscale method -- a paradigm for computational mechanics
- A Petrov-Galerkin formulation for advection-reaction-diffusion problems
- Stabilized finite element method for the transient Navier-Stokes equations based on a pressure gradient projection
- On stabilized finite element methods for linear systems of convection-diffusion-reaction equations
- A generalized-\(\alpha\) method for integrating the filtered Navier-Stokes equations with a stabilized finite element method
- Finite element stabilization parameters computed from element matrices and vectors
- A simple subgrid scale stabilized method for the advection-diffusion-reaction equation
- Variational multiscale method for nonequilibrium plasma flows
- Assessment of variational multiscale models for the large eddy simulation of turbulent incompressible flows
- Stabilization of incompressibility and convection through orthogonal sub-scales in finite element methods
- Stabilized finite element approximation of transient incompressible flows using orthogonal subscales
- A unified approach to compressible and incompressible flows
- A comparative study of different sets of variables for solving compressible and incompressible flows
- A stabilized finite element method for computing turbulence
- Comparison of some finite element methods for solving the diffusion-convection-reaction equation
- Isogeometric variational multiscale large-eddy simulation of fully-developed turbulent flow over a wavy wall
- SUPG finite element computation of viscous compressible flows based on the conservation and entropy variables formulations
- SUPG finite element computation of compressible flows with the entropy and conservation variables formulations
- A parameter-free dynamic subgrid-scale model for large-eddy simulation
- Stabilization and shock-capturing parameters in SUPG formulation of compressible flows
- A multiscale finite element method for the incompressible Navier-Stokes equations
- Large-scale stabilized FE computational analysis of nonlinear steady-state transport/reaction systems
- On the thermodynamics, stability and hierarchy of entropy functions in fluid flow
- A stabilized finite element method based on SGS models for compressible flows
- Unified formulation for compressible and incompressible flows by using multi-integrated moments. II. Multi-dimensional version for compressible and incompressible flows
- A numerical fluid dynamics calculation method for all flow speeds
- A space-time formulation for multiscale phenomena
- Multiscale phenomena: Green's functions, the Dirichlet-to-Neumann formulation, subgrid scale models, bubbles and the origins of stabilized methods
- Towards a scalable fully-implicit fully-coupled resistive MHD formulation with stabilized FE methods
- An Introduction to Magnetohydrodynamics
- Application of the variational Germano identity to the variational multiscale formulation
- Finite element flux-corrected transport (FEM-FCT) for the euler and Navier-Stokes equations
- A conservative stabilized finite element method for the magneto-hydrodynamic equations
- Solving Nonlinear Equations with Newton's Method
- Computation of moving boundaries and interfaces and stabilization parameters
- Choosing the Forcing Terms in an Inexact Newton Method
- Dynamic subscales in the finite element approximation of thermally coupled incompressible flows
- Numerical solutions of 2-D steady incompressible driven cavity flow at high Reynolds numbers
- A Finite Element Variational Multiscale Method for the Navier--Stokes Equations
- Variational Multiscale Analysis: the Fine‐scale Green’s Function, Projection, Optimization, Localization, and Stabilized Methods
- Pressure stability in fractional step finite element methods for incompressible flows
- Variational subgrid scale formulations for the advection-diffusion-reaction equation
- Simple stabilizing matrices for the computation of compressible flows in primitive variables
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