Constructing spectral schemes of the immersed interface method via a global description of discontinuous functions
DOI10.1016/j.jcp.2008.05.020zbMath1147.65098OpenAlexW1985107059MaRDI QIDQ942272
An Liang, Xiaofeng Sun, Xiaodong Jing
Publication date: 5 September 2008
Published in: Journal of Computational Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jcp.2008.05.020
collocation methodGalerkin methodfinite difference methodnumerical examplesspectral methodimmersed interface methodelliptic equationimmersed boundary method
Spectral, collocation and related methods for boundary value problems involving PDEs (65N35) Boundary value problems for second-order elliptic equations (35J25) Finite difference methods for boundary value problems involving PDEs (65N06) Finite element, Rayleigh-Ritz, Galerkin and collocation methods for ordinary differential equations (65L60) Linear boundary value problems for ordinary differential equations (34B05) Finite difference and finite volume methods for ordinary differential equations (65L12)
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Cites Work
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- Discretization of Dirac delta functions in level set methods
- A decomposed immersed interface method for variable coefficient elliptic equations with non-smooth and discontinuous solutions
- A numerical method for suspension flow
- A computational model of aquatic animal locomotion
- A fast numerical method for solving the three-dimensional Stokes' equations in the presence of suspended particles
- Modeling arteriolar flow and mass transport using the immersed boundary method
- The immersed interface method using a finite element formulation
- Modeling complex boundaries using an external force field on fixed Cartesian grids in large-eddy simulations.
- 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 comparison of spectral and vortex methods in three-dimensional incompressible flows
- 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
- An overview of the immersed interface method and its applications
- Interaction of oscillating filaments: A computational study
- Linearized pipe flow to Reynolds number \(10^7\).
- Numerical approximations of singular source terms in differential equations
- Numerical simulation of a cylinder in uniform flow: Application of a virtual boundary method
- A new high-order immersed interface method for solving elliptic equations with imbedded interface of discontinuity
- Fourier spectral and wavelet solvers for the incompressible Navier-Stokes equations with volume-penalization: convergence of a dipole-wall collision
- On the order of accuracy of the immersed boundary method: higher order convergence rates for sufficiently smooth problems
- High order matched interface and boundary method for elliptic equations with discontinuous coefficients and singular sources
- An immersed interface method for simulating the interaction of a fluid with moving boundaries
- Numerical simulation of the transient flow behaviour in chemical reactors using a penalisation method
- Flow patterns around heart valves: A numerical method
- Two-Dimensional Simulations of Valveless Pumping Using the Immersed Boundary Method
- Analysis of a One-Dimensional Model for the Immersed Boundary Method
- The Immersed Interface Method for Elliptic Equations with Discontinuous Coefficients and Singular Sources
- An Immersed Interface Method for Incompressible Navier--Stokes Equations
- Dynamical properties of forced shear layers in an annular geometry
- Three-dimensional numerical simulation of thermocapillary flows in cylindrical liquid bridges
- A Jump Condition Capturing Finite Difference Scheme for Elliptic Interface Problems
- New Geometric Immersed Interface Multigrid Solvers
- The Immersed Interface/Multigrid Methods for Interface Problems
- The Explicit-Jump Immersed Interface Method: Finite Difference Methods for PDEs with Piecewise Smooth Solutions
- Systematic Derivation of Jump Conditions for the Immersed Interface Method in Three-Dimensional Flow Simulation
- Computation of turbulent flow past an array of cylinders using a spectral method with Brinkman penalization