Sharp interface approaches and deep learning techniques for multiphase flows
DOI10.1016/j.jcp.2018.05.031zbMath1451.76131OpenAlexW2806457513MaRDI QIDQ2214553
David A. B. Hyde, Frédéric Gibou, Ron Fedkiw
Publication date: 9 December 2020
Published in: Journal of Computational Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jcp.2018.05.031
surface tensionparallelmultiphase flowsghost-fluid methodVoronoi interface methodquadtree and octree
Artificial neural networks and deep learning (68T07) Navier-Stokes equations for incompressible viscous fluids (76D05) Finite volume methods applied to problems in fluid mechanics (76M12) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Capillarity (surface tension) for incompressible viscous fluids (76D45) Liquid-gas two-phase flows, bubbly flows (76T10) Research exposition (monographs, survey articles) pertaining to fluid mechanics (76-02) Finite volume methods for initial value and initial-boundary value problems involving PDEs (65M08) Finite volume methods for boundary value problems involving PDEs (65N08)
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- A monolithic mass tracking formulation for bubbles in incompressible flow
- An adaptive discretization of incompressible flow using a multitude of moving Cartesian grids
- Benchmarks and numerical methods for the simulation of boiling flows
- A new incompressibility discretization for a hybrid particle MAC grid representation with surface tension
- A stable projection method for the incompressible Navier-Stokes equations on arbitrary geometries and adaptive quad/octrees
- Efficient symmetric positive definite second-order accurate monolithic solver for fluid/solid interactions
- Quantifying and reducing model-form uncertainties in Reynolds-averaged Navier-Stokes simulations: a data-driven, physics-informed Bayesian approach
- An unconditionally stable fully conservative semi-Lagrangian method
- Numerically stable fluid-structure interactions between compressible flow and solid structures
- Second-order accurate computation of curvatures in a level set framework using novel high-order reinitialization schemes
- Guidelines for Poisson solvers on irregular domains with Dirichlet boundary conditions using the ghost fluid method
- A symmetric positive definite formulation for monolithic fluid structure interaction
- A fourth order accurate discretization for the Laplace and heat equations on arbitrary domains, with applications to the Stefan problem
- Machine learning strategies for systems with invariance properties
- Design and optimization of artificial neural networks for the modelling of superconducting magnets operation in tokamak fusion reactors
- On two-phase flow solvers in irregular domains with contact line
- Regularized kernel PCA for the efficient parameterization of complex geological models
- A sparse grid based method for generative dimensionality reduction of high-dimensional data
- Parallel level-set methods on adaptive tree-based grids
- A supra-convergent finite difference scheme for the variable coefficient Poisson equation on non-graded grids
- A second order accurate projection method for the incompressible Navier-Stokes equations on non-graded adaptive grids
- A level set method for vaporizing two-phase flows
- A level set based sharp interface method for the multiphase incompressible Navier --- Stokes equations with phase change
- A second order accurate level set method on non-graded adaptive Cartesian grids
- Spatially adaptive techniques for level set methods and incompressible flow
- Uniformly high order accurate essentially non-oscillatory schemes. III
- Fronts propagating with curvature-dependent speed: Algorithms based on Hamilton-Jacobi formulations
- Efficient implementation of essentially nonoscillatory shock-capturing schemes. II
- Volume of fluid (VOF) method for the dynamics of free boundaries
- A continuum method for modeling surface tension
- Computational methods in Lagrangian and Eulerian hydrocodes
- Numerical analysis of blood flow in the heart
- A diffusion-generated approach to multiphase motion
- The fast construction of extension velocities in level set methods
- Motion of multiple junctions: A level set approach
- A level set approach for computing solutions to incompressible two-phase flow
- Weighted essentially non-oscillatory schemes
- Gerris: A tree-based adaptive solver for the incompressible Euler equations in complex geometries.
- A level set approach for the numerical simulation of dendritic growth
- Semi-implicit level set methods for curvature and surface diffusion motion
- An Eulerian formulation for solving partial differential equations along a moving interface
- A coupled level set and volume-of-fluid method for computing 3D and axisymmetric incompressible two-phase flows
- A remark on computing distance functions
- A second-order-accurate symmetric discretization of the Poisson equation on irregular domains
- A projection method for motion of triple junctions by level sets.
- A zonal Galerkin-free POD model for incompressible flows
- A novel evolutionary algorithm applied to algebraic modifications of the RANS stress-strain relationship
- Inferring solutions of differential equations using noisy multi-fidelity data
- A data-driven adaptive Reynolds-averaged Navier-Stokes \(k\)-\(\omega\) model for turbulent flow
- Machine learning of linear differential equations using Gaussian processes
- Discovering variable fractional orders of advection-dispersion equations from field data using multi-fidelity Bayesian optimization
- A review of level-set methods and some recent applications
- Neural network modeling for near wall turbulent flow.
- A hybrid particle level set method for improved interface capturing
- A second order coupled level set and volume-of-fluid method for computing growth and collapse of vapor bubbles.
- A front-tracking method for dendritic solidification
- A level set formulation of Eulerian interface capturing methods for incompressible fluid flows
- A boundary condition capturing method for Poisson's equation on irregular domains
- Direct numerical simulation of incompressible flows on parallel octree grids
- Two coupled particle-finite volume methods using Delaunay-Voronoï meshes for the approximation of Vlasov-Poisson and Vlasov-Maxwell equations
- Solving elliptic problems with discontinuities on irregular domains -- the Voronoi interface method
- A paradigm for data-driven predictive modeling using field inversion and machine learning
- Development of an exchange-correlation functional with uncertainty quantification capabilities for density functional theory
- A nonlinear manifold-based reduced order model for multiscale analysis of heterogeneous hyperelastic materials
- Nonlinear Laplacian spectral analysis of Rayleigh-Bénard convection
- A ghost fluid/level set method for boiling flows and liquid evaporation: application to the leidenfrost effect
- Quantifying uncertainties in first-principles alloy thermodynamics using cluster expansions
- A numerical method for solving incompressible viscous flow problems
- Efficient simulation of surface tension-dominated flows through enhanced interface geometry interrogation
- Efficient symmetric discretization for the Poisson, heat and Stefan-type problems with Robin boundary conditions
- A method for overcoming the surface tension time step constraint in multiphase flows II
- Probability for Statistics and Machine Learning
- The immersed boundary method
- A Parallel Two-Scale Method for Eikonal Equations
- A Stable and Efficient Method for Treating Surface Tension in Incompressible Two-Phase Flow
- Computations of boiling flows
- A semi-implicit finite volume implementation of the CSF method for treating surface tension in interfacial flows
- Fast Marching Methods
- Three-Dimensional Front Tracking
- Convergence of the ghost fluid method for elliptic equations with interfaces
- L<scp>EVEL</scp> S<scp>ET</scp> M<scp>ETHODS FOR</scp> F<scp>LUID</scp> I<scp>NTERFACES</scp>
- Weighted ENO Schemes for Hamilton--Jacobi Equations
- A fast sweeping method for Eikonal equations
- Efficient algorithms for globally optimal trajectories
- A static PDE Approach for MultiDimensional Extrapolation Using Fast Sweeping Methods
- A new implicit surface tension implementation for interfacial flows
- A numerical method for two-phase flow consisting of separate compressible and incompressible regions
- Level set methods: An overview and some recent results
- A front-tracking method for the computations of multiphase flow.
- Random forests