An Extended Discontinuous Galerkin Framework for Multiphase Flows
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Publication:4637267
DOI10.1007/978-3-319-56602-3_3zbMath1444.35124OpenAlexW2619930192MaRDI QIDQ4637267
Thomas Utz, Florian Kummer, Martin Oberlack, Christina Kallendorf, Björn Müller
Publication date: 18 April 2018
Published in: Transport Processes at Fluidic Interfaces (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/978-3-319-56602-3_3
Multiphase and multicomponent flows (76T99) Navier-Stokes equations (35Q30) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60)
Uses Software
Cites Work
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- A uniformly second order fast sweeping method for eikonal equations
- A discontinuous Galerkin conservative level set scheme for interface capturing in multiphase flows
- High order X-FEM and levelsets for complex microstructures: uncoupling geometry and approximation
- Numerical integration of polynomials and discontinuous functions on irregular convex polygons and polyhedrons
- An Eulerian approach to transport and diffusion on evolving implicit surfaces
- Mathematical aspects of discontinuous Galerkin methods.
- Generalized Gaussian quadrature rules for discontinuities and crack singularities in the extended finite element method
- The superconvergent patch recovery (SPR) and adaptive finite element refinement
- A stabilized finite element method using a discontinuous level set approach for solving two phase incompressible flows
- A high-order discontinuous Galerkin method for the unsteady incompressible Navier-Stokes equations
- A discontinuous Galerkin finite element method for directly solving the Hamilton-Jacobi equations
- Eulerian finite element method for parabolic PDEs on implicit surfaces
- A second order discontinuous Galerkin fast sweeping method for eikonal equations
- Robust second-order accurate discretizations of the multi-dimensional Heaviside and Dirac delta functions
- Numerical simulation of dealloying by surface dissolution via the evolving surface finite element method
- A numerical algorithm for the construction of efficient quadrature rules in two and higher dimensions
- The finite cell method for three-dimensional problems of solid mechanics
- A spectrally refined interface approach for simulating multiphase flows
- Applications of symmetry methods to partial differential equations
- A level set approach for computing solutions to incompressible two-phase flow
- A discontinuous spectral element method for the level set equation
- A variational level set approach to multiphase motion
- A 3D strongly coupled implicit discontinuous Galerkin level set-based method for modeling two-phase flows
- A third order fast sweeping method with linear computational complexity for eikonal equations
- High-order methods for computing distances to implicitly defined surfaces
- A stabilized finite element method using a discontinuous level set approach for the computation of bubble dynamics
- A finite element based level set method for two-phase incompressible flows
- A level set discontinuous Galerkin method for free surface flows
- A SIMPLE based discontinuous Galerkin solver for steady incompressible flows
- Quadrature schemes for arbitrary convex/concave volumes and integration of weak form in enriched partition of unity methods
- Geometric integration over irregular domains with application to level-set methods
- Fourth order partial differential equations on general geometries
- A Boundary Conformal DG Approach for Electro-Quasistatics Problems
- Simple multidimensional integration of discontinuous functions with application to level set methods
- Highly accurate surface and volume integration on implicit domains by means of moment-fitting
- A Nonlinear Optimization Procedure for Generalized Gaussian Quadratures
- Uniformly Accurate Discontinuous Galerkin Fast Sweeping Methods for Eikonal Equations
- Small-deformation theory for a surfactant-covered drop in linear flows
- Finite elements on evolving surfaces
- Higher-order XFEM for curved strong and weak discontinuities
- Simple finite element-based computation of distance functions in unstructured grids
- Computing geodesic paths on manifolds
- An Interior Penalty Finite Element Method with Discontinuous Elements
- Unified Analysis of Discontinuous Galerkin Methods for Elliptic Problems
- A high‐order discontinuous Galerkin method for compressible flows with immersed boundaries
- A fast sweeping method for Eikonal equations
- Stagnant-cap bubbles with both diffusion and adsorption rate-determining
- A Discontinuous Galerkin Finite Element Method for Hamilton--Jacobi Equations
- ON SPHERICAL BUBBLES RISING STEADILY IN DILUTE SURFACTANT SOLUTIONS
- Direct construction method for conservation laws of partial differential equations Part I: Examples of conservation law classifications
- Direct construction method for conservation laws of partial differential equations Part II: General treatment
- A finite element method for crack growth without remeshing
- Increased mobility of a surfactant-retarded bubble at high bulk concentrations
- An Extension of the Discontinuous Galerkin Method for the Singular Poisson Equation
- Patch-Recovery Filters for Curvature in Discontinuous Galerkin-Based Level-Set Methods
- Level set methods: An overview and some recent results
