A simple direct-forcing immersed boundary projection method with prediction-correction for fluid-solid interaction problems

DOI10.1016/j.compfluid.2018.02.003zbMath1410.76291OpenAlexW2789424333MaRDI QIDQ1625642

Po-Wen Hsieh, Tzyy-Leng Horng, Cheng-Shu You, Suh-Yuh Yang

Publication date: 29 November 2018

Published in: Computers and Fluids (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.compfluid.2018.02.003

zbMATH Keywords

incompressible Navier-Stokes equationsprojection schemefluid-solid interactionimmersed boundary methodprediction-correctiondirect-forcing method

Mathematics Subject Classification ID

Navier-Stokes equations for incompressible viscous fluids (76D05) Fluid-solid interactions (including aero- and hydro-elasticity, porosity, etc.) (74F10) Finite difference methods applied to problems in fluid mechanics (76M20) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06)

Related Items (5)

A Direct-Forcing Immersed Boundary Projection Method for Thermal Fluid-Solid Interaction Problems ⋮ A novel interpolation-free sharp-interface immersed boundary method ⋮ Efficient and practical phase-field method for the incompressible multi-component fluids on 3D surfaces with arbitrary shapes ⋮ An iterative divergence-free immersed boundary method in the finite element framework for moving bodies ⋮ A volume of solid implicit forcing immersed boundary method for solving incompressible Navier-Stokes equations in complex domain

Cites Work

• Unnamed Item
• Unnamed Item
• An improved immersed boundary method with direct forcing for the simulation of particle laden flows
• A novel iterative direct-forcing immersed boundary method and its finite volume applications
• Simulating flows with moving rigid boundary using immersed-boundary method
• A second-order accurate immersed boundary method for fully resolved simulations of particle-laden flows
• An unconditionally energy stable penalty immersed boundary method for simulating the dynamics of an inextensible interface interacting with a solid particle
• A Cartesian grid method for solving the two-dimensional streamfunction-vorticity equations in irregular regions
• An accurate and efficient method for the incompressible Navier-Stokes equations using the projection method as a preconditioner
• An immersed boundary method to solve fluid-solid interaction problems
• Runge-Kutta-Chebyshev projection method
• An improved direct-forcing immersed-boundary method for finite difference applications
• Unconditionally stable discretizations of the immersed boundary equations
• An immersed boundary method for complex incompressible flows
• An immersed boundary method for interfacial flows with insoluble surfactant
• On the consistency of the direct forcing method in the fractional step solution of the Navier-Stokes equations
• A differentially interpolated direct forcing immersed boundary method for predicting incompressible Navier-Stokes equations in time-varying complex geometries
• Simulating the dynamics of inextensible vesicles by the penalty immersed boundary method
• A direct-forcing embedded-boundary method with adaptive mesh refinement for fluid-structure interaction problems
• An implicit-forcing immersed boundary method for simulating viscous flows in irregular domains
• An immersed boundary technique for simulating complex flows with rigid boundary
• Application of a fractional-step method to incompressible Navier-Stokes equations
• Effects of the computational time step on numerical solutions of turbulent flow
• Preconditioned multigrid methods for unsteady incompressible flows
• Numerical simulation of two-dimensional flows over a circular cylinder using the immersed boundary method.
• A cartesian grid method for modeling multiple moving objects in 2D incompressible viscous flow.
• A ghost-cell immersed boundary method for flow in complex geometry.
• An immersed boundary method with formal second-order accuracy and reduced numerical viscosity
• Combined immersed-boundary finite-difference methods for three-dimensional complex flow simulations
• A high-order immersed interface method for simulating unsteady incompressible flows on irregular domains
• Modeling a no-slip flow boundary with an external force field
• Analysis of stiffness in the immersed boundary method and implications for time-stepping schemes
• A second-order projection method for the incompressible Navier-Stokes equations
• Numerical simulation of a cylinder in uniform flow: Application of a virtual boundary method
• An accurate Cartesian grid method for viscous incompressible flows with complex immersed boundaries
• On the accuracy of direct forcing immersed boundary methods with projection methods
• On the numerical oscillation of the direct-forcing immersed-boundary method for moving boundaries
• The immersed boundary method: a projection approach
• An overview of projection methods for incompressible flows
• An immersed boundary method with direct forcing for the simulation of particulate flows
• An immersed interface method for simulating the interaction of a fluid with moving boundaries
• Sur l'approximation de la solution des équations de Navier-Stokes par la méthode des pas fractionnaires. II
• Flow patterns around heart valves: A numerical method
• Projection method III: Spatial discretization on the staggered grid
• Experiments on the flow past a circular cylinder at low Reynolds numbers
• IMMERSED BOUNDARY METHODS
• Numerical Calculation of Time-Dependent Viscous Incompressible Flow of Fluid with Free Surface
• The immersed boundary method
• Penalty immersed boundary method for an elastic boundary with mass
• Bi-CGSTAB: A Fast and Smoothly Converging Variant of Bi-CG for the Solution of Nonsymmetric Linear Systems
• Stability and Instability in the Computation of Flows with Moving Immersed Boundaries: A Comparison of Three Methods
• Steady and Oscillatory Subsonic and Supersonic Aerodynamics around Complex Configurations
• A Fractional Step Immersed Boundary Method for Stokes Flow with an Inextensible Interface Enclosing a Solid Particle
• Direct-Forcing Immersed Boundary Method for Mixed Heat Transfer
• On the Convergence of Discrete Approximations to the Navier-Stokes Equations
• Numerical Solution of the Navier-Stokes Equations
• Accurate projection methods for the incompressible Navier-Stokes equations
• A remark on jump conditions for the three-dimensional Navier-Stokes equations involving an immersed moving membrane
• A fictitious domain approach to the direct numerical simulation of incompressible viscous flow past moving rigid bodies: application to particulate flow.
• An immersed-boundary finite volume method for simulations of flow in complex geometries
• The immersed interface method for the Navier-Stokes equations with singular forces

This page was built for publication: A simple direct-forcing immersed boundary projection method with prediction-correction for fluid-solid interaction problems