On a marching level‐set method for extended discontinuous Galerkin methods for incompressible two‐phase flows: Application to two‐dimensional settings
DOI10.1002/nme.6853arXiv2010.08417OpenAlexW3205451909MaRDI QIDQ6061720
Publication date: 31 October 2023
Published in: International Journal for Numerical Methods in Engineering (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2010.08417
level-set functiontransient two-phase flowfast-marchingcell agglomerationelliptic extension velocityextended/unfitted discontinuous Galerkin methodmoving interface time discretizationsharp interface formulation
Basic methods in fluid mechanics (76Mxx) Numerical methods for partial differential equations, boundary value problems (65Nxx) Incompressible viscous fluids (76Dxx)
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Cites Work
- Unnamed Item
- A Fully Asynchronous Multifrontal Solver Using Distributed Dynamic Scheduling
- XFEM with hanging nodes for two-phase incompressible flow
- A fourth order accurate discretization for the Laplace and heat equations on arbitrary domains, with applications to the Stefan problem
- Numerical time-step restrictions as a result of capillary waves
- An algorithm for evolutionary surfaces
- An accurate adaptive solver for surface-tension-driven interfacial flows
- An extended pressure finite element space for two-phase incompressible flows with surface tension
- A continuum method for modeling surface tension
- The fast construction of extension velocities in level set methods
- A level set approach for computing solutions to incompressible two-phase flow
- A simple level set method for solving Stefan problems
- Implicit mesh discontinuous Galerkin methods and interfacial gauge methods for high-order accurate interface dynamics, with applications to surface tension dynamics, rigid body fluid-structure interaction, and free surface flow. II
- A fast level set method for propagating interfaces
- The stable XFEM for two-phase flows
- BoSSS: a package for multigrid extended discontinuous Galerkin methods
- A stabilized finite element method using a discontinuous level set approach for the computation of bubble dynamics
- The finite element method with Lagrangian multipliers
- Highly accurate surface and volume integration on implicit domains by means of moment-fitting
- The Nitsche XFEM-DG Space-Time Method and its Implementation in Three Space Dimensions
- Quantitative benchmark computations of two-dimensional bubble dynamics
- Finite Element Discretization Error Analysis of a Surface Tension Force in Two-Phase Incompressible Flows
- Higher-order XFEM for curved strong and weak discontinuities
- The intrinsic XFEM for two-fluid flows
- An unfitted finite element method using discontinuous Galerkin
- Motion of two superposed viscous fluids
- An Interior Penalty Finite Element Method with Discontinuous Elements
- Total variation diminishing Runge-Kutta schemes
- The extended finite element method (XFEM) for solidification problems
- A fast sweeping method for Eikonal equations
- A discontinuous Galerkin method with nonoverlapping domain decomposition for the Stokes and Navier-Stokes problems
- A finite element method for crack growth without remeshing
- A static PDE Approach for MultiDimensional Extrapolation Using Fast Sweeping Methods
- An unfitted interior penalty discontinuous Galerkin method for incompressible Navier–Stokes two‐phase flow
- High-Order Quadrature Methods for Implicitly Defined Surfaces and Volumes in Hyperrectangles
- Patch-Recovery Filters for Curvature in Discontinuous Galerkin-Based Level-Set Methods
- A new implicit surface tension implementation for interfacial flows
- Finite element discretization of the Navier-Stokes equations with a free capillary surface
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