A high-order finite difference method for moving immersed domain boundaries and material interfaces
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Publication:6553797
DOI10.1016/j.jcp.2024.112979MaRDI QIDQ6553797
Wim M. van Rees, James Gabbard
Publication date: 11 June 2024
Published in: Journal of Computational Physics (Search for Journal in Brave)
Basic methods in fluid mechanics (76Mxx) Numerical methods for ordinary differential equations (65Lxx) Numerical methods for partial differential equations, initial value and time-dependent initial-boundary value problems (65Mxx)
Cites Work
- Unnamed Item
- Efficient implementation of high order inverse Lax-Wendroff boundary treatment for conservation laws
- A systematic approach for constructing higher-order immersed boundary and ghost fluid methods for fluid-structure interaction problems
- A high order moving boundary treatment for compressible inviscid flows
- A high-order immersed boundary method for acoustic wave scattering and low-Mach number flow-induced sound in complex geometries
- A fourth order accurate discretization for the Laplace and heat equations on arbitrary domains, with applications to the Stefan problem
- Low-storage implicit/explicit Runge-Kutta schemes for the simulation of stiff high-dimensional ODE systems
- Runge-Kutta methods with minimum storage implementations
- An immersed interface method for viscous incompressible flows involving rigid and flexible boundaries
- A versatile sharp interface immersed boundary method for incompressible flows with complex boundaries
- Curvilinear immersed boundary method for simulating fluid structure interaction with complex 3D rigid bodies
- Efficient implementation of essentially nonoscillatory shock-capturing schemes
- Low-storage Runge-Kutta schemes
- A Cartesian grid embedded boundary method for Poisson's equation on irregular domains
- A non-oscillatory Eulerian approach to interfaces in multimaterial flows (the ghost fluid method)
- Immersed interface methods for moving interface problems
- Unstructured Cartesian refinement with sharp interface immersed boundary method for 3D unsteady incompressible flows
- A high-order immersed interface method for simulating unsteady incompressible flows on irregular domains
- A hybrid Cartesian/immersed boundary method for simulating flows with 3D, geometrically complex, moving bodies
- Computation of solid-liquid phase fronts in the sharp interface limit on fixed grids
- DIRK schemes with high weak stage order
- An immersed boundary fluid-structure interaction method for thin, highly compliant shell structures
- Foundations for high-order, conservative cut-cell methods: stable discretizations on degenerate meshes
- An inverse Lax-Wendroff procedure for hyperbolic conservation laws with changing wind direction on the boundary
- High-order quadrature on multi-component domains implicitly defined by multivariate polynomials
- A coupled discontinuous Galerkin-finite volume framework for solving gas dynamics over embedded geometries
- Modeling wave propagation in elastic solids via high-order accurate implicit-mesh discontinuous Galerkin methods
- Development of immersed boundary computational aeroacoustic prediction capabilities for open-rotor noise
- An efficient, high-order method for solving Poisson equation for immersed boundaries: combination of compact difference and multiscale multigrid methods
- Inverse Lax-Wendroff procedure for numerical boundary conditions of convection-diffusion equations
- A numerical method for solving the 3D unsteady incompressible Navier-Stokes equations in curvilinear domains with complex immersed boundaries
- An embedded-boundary formulation for large-eddy simulation of turbulent flows interacting with moving boundaries
- An immersed interface method for simulating the interaction of a fluid with moving boundaries
- Flow patterns around heart valves: A numerical method
- An immersed interface method for the 2D vorticity-velocity Navier-Stokes equations with multiple bodies
- High-order dimensionally-split Cartesian embedded boundary method for non-dissipative schemes
- Explicit Runge–Kutta Methods with Estimates of the Local Truncation Error
- The Immersed Interface Method for Elliptic Equations with Discontinuous Coefficients and Singular Sources
- The Correct Formulation of Intermediate Boundary Conditions for Runge--Kutta Time Integration of Initial Boundary Value Problems
- An extension and analysis of the Shu-Osher representation of Runge-Kutta methods
- The Theoretical Accuracy of Runge–Kutta Time Discretizations for the Initial Boundary Value Problem: A Study of the Boundary Error
- MURPHY---A Scalable Multiresolution Framework for Scientific Computing on 3D Block-Structured Collocated Grids
- High-Order Quadrature Methods for Implicitly Defined Surfaces and Volumes in Hyperrectangles
- Representations of Runge--Kutta Methods and Strong Stability Preserving Methods
- Global optimization of explicit strong-stability-preserving Runge-Kutta methods
- A sharp interface Cartesian grid method for simulating flows with complex moving boundaries
- Stability analysis of the inverse Lax-Wendroff boundary treatment for high order upwind-biased finite difference schemes
- A Fourth-Order Embedded Boundary Finite Volume Method for the Unsteady Stokes Equations with Complex Geometries
- A sharp immersed method for 2D flow-body interactions using the vorticity-velocity Navier-Stokes equations
- Design of DIRK schemes with high weak stage order
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