Stable nodal projection method on octree grids
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Publication:6196592
DOI10.1016/j.jcp.2023.112695arXiv2306.09957OpenAlexW4389513645MaRDI QIDQ6196592
Matthew Blomquist, Maxime Theillard, Scott R. West, Adam L. Binswanger
Publication date: 14 March 2024
Published in: Journal of Computational Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2306.09957
Basic methods in fluid mechanics (76Mxx) Numerical methods for partial differential equations, initial value and time-dependent initial-boundary value problems (65Mxx) Incompressible viscous fluids (76Dxx)
Cites Work
- A monolithic mass tracking formulation for bubbles in incompressible flow
- 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
- Fluid-structure interaction analysis of bioprosthetic heart valves: significance of arterial wall deformation
- A sharp-interface immersed boundary method with improved mass conservation and reduced spurious pressure oscillations
- A Cartesian grid method for solving the two-dimensional streamfunction-vorticity equations in irregular regions
- Adaptive mesh refinement for hyperbolic partial differential equations
- 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 versatile sharp interface immersed boundary method for incompressible flows with complex boundaries
- An efficient fluid-solid coupling algorithm for single-phase flows
- Spatially adaptive techniques for level set methods and incompressible flow
- Application of a fractional-step method to incompressible Navier-Stokes equations
- Some results on uniformly high-order accurate essentially nonoscillatory schemes
- Boundary conditions for incompressible flows
- High-order splitting methods for the incompressible Navier-Stokes equations
- Weighted essentially non-oscillatory schemes
- Gerris: A tree-based adaptive solver for the incompressible Euler equations in complex geometries.
- A partial differential equation approach to multidimensional extrapolation.
- Level-set simulations of soluble surfactant driven flows
- Approximate tensor-product preconditioners for very high order discontinuous Galerkin methods
- High-Re solutions for incompressible flow using the Navier-Stokes equations and a multigrid method
- A projection method for locally refined grids
- General formulation of second-order semi-Lagrangian methods for convection-diffusion problems
- Direct numerical simulation of incompressible flows on parallel octree grids
- A volume-preserving reference map method for the level set representation
- Computational modeling of protein conformational changes -- application to the opening SARS-CoV-2 spike
- Fully implicit and accurate treatment of jump conditions for two-phase incompressible Navier-Stokes equations
- A unified approach to monolithic solid-fluid coupling of sub-grid and more resolved solids
- Sharp numerical simulation of incompressible two-phase flows
- Computational mean-field modeling of confined active fluids
- Simulation of high density ratio interfacial flows on cell vertex/edge-based staggered octree grids with second-order discretization at irregular nodes
- A multigrid method on non-graded adaptive octree and quadtree Cartesian grids
- A second-order sharp numerical method for solving the linear elasticity equations on irregular domains and adaptive grids -- application to shape optimization
- Geometric integration over irregular domains with application to level-set methods
- A numerical method for solving incompressible viscous flow problems
- Sur l'approximation de la solution des équations de Navier-Stokes par la méthode des pas fractionnaires. I
- Sharp interface Cartesian grid method. I: An easily implemented technique for 3D moving boundary computations
- Projection method for the fluctuating hydrodynamics equations
- Solving incompressible Navier-Stokes equations on irregular domains and quadtrees by monolithic approach
- Approximate Projection Methods: Part I. Inviscid Analysis
- An improved curvilinear finite difference (CFD) method for arbitrary mesh systems
- Numerical Calculation of Time-Dependent Viscous Incompressible Flow of Fluid with Free Surface
- A fast variational framework for accurate solid-fluid coupling
- A Second-Order Accurate Pressure-Correction Scheme for Viscous Incompressible Flow
- Numerical study and physical analysis of the pressure and velocity fields in the near wake of a circular cylinder
- Low-Reynolds-number flow around an oscillating circular cylinder at low Keulegan–Carpenter numbers
- A Cartesian Grid Projection Method for the Incompressible Euler Equations in Complex Geometries
- Viscous oscillatory flow around a circular cylinder at low Keulegan-Carpenter numbers and frequency parameters
- Extreme-Scale Block-Structured Adaptive Mesh Refinement
- A Numerical Method for the Incompressible Navier-Stokes Equations Based on an Approximate Projection
- A two‐step monolithic method for the efficient simulation of incompressible flows
- Numerical solutions of 2-D steady incompressible driven cavity flow at high Reynolds numbers
- Accurate projection methods for the incompressible Navier-Stokes equations
- A semi-Lagrangian high-order method for Navier-Stokes equations