A fast integral equation method for the two-dimensional Navier-Stokes equations
From MaRDI portal
Publication:778332
DOI10.1016/j.jcp.2020.109353zbMath1435.76020arXiv1908.07392OpenAlexW3007937599MaRDI QIDQ778332
Travis Askham, Ludvig af Klinteberg, Mary Catherine A. Kropinski
Publication date: 2 July 2020
Published in: Journal of Computational Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1908.07392
Numerical methods for integral equations (65R20) Navier-Stokes equations for incompressible viscous fluids (76D05) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12)
Related Items
An adaptive kernel-split quadrature method for parameter-dependent layer potentials ⋮ The smooth forcing extension method: a high-order technique for solving elliptic equations on complex domains ⋮ Quadrature by fundamental solutions: kernel-independent layer potential evaluation for large collections of simple objects ⋮ An integral equation method for the advection-diffusion equation on time-dependent domains in the plane ⋮ An integral equation-based numerical method for the forced heat equation on complex domains ⋮ Viscous transport in eroding porous media ⋮ Spectrally accurate solutions to inhomogeneous elliptic PDE in smooth geometries using function intension ⋮ A fast, high-order scheme for evaluating volume potentials on complex 2D geometries via area-to-line integral conversion and domain mappings
Uses Software
Cites Work
- Unnamed Item
- Unnamed Item
- Quadrature by expansion: a new method for the evaluation of layer potentials
- High-order accurate methods for Nyström discretization of integral equations on smooth curves in the plane
- Second kind integral equation formulation for the modified biharmonic equation and its applications
- Fast integral equation methods for Rothe's method applied to the isotropic heat equation
- A direct solver with \(O(N)\) complexity for integral equations on one-dimensional domains
- Corner singularities for elliptic problems: Integral equations, graded meshes, quadrature, and compressed inverse preconditioning
- Integral equation methods for elliptic problems with boundary conditions of mixed type
- Rothe's method for the heat equation and boundary integral equations
- Spectral deferred correction methods for ordinary differential equations
- Immersed boundary smooth extension (IBSE): a high-order method for solving incompressible flows in arbitrary smooth domains
- An adaptive fast multipole accelerated Poisson solver for complex geometries
- A fast direct solver for boundary value problems on locally perturbed geometries
- A fast direct solver for boundary integral equations in two dimensions
- A stabilized separation of variables method for the modified biharmonic equation
- A versatile algorithm for the treatment of open boundary conditions in smoothed particle hydrodynamics GPU models
- Hybrid asymptotic/numerical methods for the evaluation of layer heat potentials in two dimensions
- Partition of unity extension of functions on complex domains
- A fast algorithm for quadrature by expansion in three dimensions
- Optimization of fast algorithms for global quadrature by expansion using target-specific expansions
- Variants of an explicit kernel-split panel-based Nyström discretization scheme for Helmholtz boundary value problems
- Error estimation for quadrature by expansion in layer potential evaluation
- An accurate integral equation method for simulating multi-phase Stokes flow
- On the solution of elliptic partial differential equations on regions with corners
- On the evaluation of layer potentials close to their sources
- An adaptive fast solver for the modified Helmholtz equation in two dimensions
- Semi-implicit spectral deferred correction methods for ordinary differential equations
- A Fast Algorithm for Simulating Multiphase Flows Through Periodic Geometries of Arbitrary Shape
- Evaluation of Layer Potentials Close to the Boundary for Laplace and Helmholtz Problems on Analytic Planar Domains
- Julia: A Fresh Approach to Numerical Computing
- Randomized algorithms for the low-rank approximation of matrices
- A singularity method for unsteady linearized flow
- Stable Computations with Gaussian Radial Basis Functions
- Method of lines transpose: An implicit solution to the wave equation
- The immersed boundary method
- GMRES: A Generalized Minimal Residual Algorithm for Solving Nonsymmetric Linear Systems
- Boundary Integral and Singularity Methods for Linearized Viscous Flow
- An Integral Equation Approach to the Incompressible Navier--Stokes Equations in Two Dimensions
- On Integral Equation Methods for the First Dirichlet Problem of the Biharmonic and Modified Biharmonic Equations in NonSmooth Domains
- Adaptive Quadrature by Expansion for Layer Potential Evaluation in Two Dimensions
- Barycentric Lagrange Interpolation
- Implicit-Explicit Methods for Time-Dependent Partial Differential Equations
- A Parallel Nonuniform Fast Fourier Transform Library Based on an “Exponential of Semicircle" Kernel
- On the Compression of Low Rank Matrices
- Computing Eigenvalues of Complex Matrices by Determinant Evaluation and by Methods of Danilewski and Wielandt
- Solution of Vandermonde systems of equations
- A calculation of the viscous force exerted by a flowing fluid on a dense swarm of particles
- A fast algorithm for particle simulations