Variationally derived discontinuity capturing methods: fine scale models with embedded weak and strong discontinuities
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Publication:1986363
DOI10.1016/j.cma.2018.05.029zbMath1440.65221OpenAlexW2809174943WikidataQ129724054 ScholiaQ129724054MaRDI QIDQ1986363
Ahmad A. Al-Naseem, Arif Masud
Publication date: 8 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.2018.05.029
strong discontinuityweak discontinuitydiscontinuity capturingdiscontinuous surface forcefine-scale enrichmentVMS stabilization
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Cites Work
- Weak Galerkin methods for second order elliptic interface problems
- Residual-based variational multiscale turbulence models for unstructured tetrahedral meshes
- A variational multiscale method for incompressible turbulent flows: bubble functions and fine scale fields
- A multiscale/stabilized finite element method for the advection-diffusion equation
- Immersed finite element method
- Variational multiscale residual-based turbulence modeling for large eddy simulation of incompressible flows
- Finite element computation of turbulent flows with the discontinuity-capturing directional dissipation (DCDD)
- A moving mesh interface tracking method for 3D incompressible two-phase flows
- An extended pressure finite element space for two-phase incompressible flows with surface tension
- A new finite element formulation for computational fluid dynamics. VIII. The Galerkin/least-squares method for advective-diffusive equations
- Effects of mesh motion on the stability and convergence of ALE based formulations for moving boundary flows
- Discontinuity-capturing finite element formulations for nonlinear convection-diffusion-reaction equations
- A new finite element formulation for computational fluid dynamics. II. Beyond SUPG
- A continuum method for modeling surface tension
- The variational multiscale method -- a paradigm for computational mechanics
- Further considerations on residual-free bubbles for advective-diffusive equations
- A generalized-\(\alpha\) method for integrating the filtered Navier-Stokes equations with a stabilized finite element method
- A discontinuity-capturing crosswind-dissipation for the finite element solution of the convection-diffusion equation
- A level set formulation of Eulerian interface capturing methods for incompressible fluid flows
- A weak Galerkin finite element method for second-order elliptic problems
- The stable XFEM for two-phase flows
- A moving mesh finite volume interface tracking method for surface tension dominated interfacial fluid flow
- High fidelity anisotropic adaptive variational multiscale method for multiphase flows with surface tension
- Shape optimization using the cut finite element method
- Multiscale phenomena: Green's functions, the Dirichlet-to-Neumann formulation, subgrid scale models, bubbles and the origins of stabilized methods
- A hierarchical multiscale framework for problems with multiscale source terms
- A variationally consistent finite element approach to the two-fluid internal contact-line problem
- An interface-enriched generalized FEM for problems with discontinuous gradient fields
- Quantitative benchmark computations of two-dimensional bubble dynamics
- A stabilized mixed finite element method for the first‐order form of advection–diffusion equation
- An Immersed Interface Method for the Incompressible Navier–Stokes Equations with Discontinuous Viscosity Across the Interface
- The Immersed Interface Method for Elliptic Equations with Discontinuous Coefficients and Singular Sources
- An enriched finite element method and level sets for axisymmetric two-phase flow with surface tension
- Efficient adaptive integration of functions with sharp gradients and cusps in n‐dimensional parallelepipeds
- Partially Penalized Immersed Finite Element Methods For Elliptic Interface Problems
- A new enrichment space for the treatment of discontinuous pressures in multi‐fluid flows
- Improving Eulerian two-phase flow finite element approximation with discontinuous gradient pressure shape functions
- The discontinuous enrichment method
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