Numerical treatment of polar coordinate singularities

Comparison of implicit multigrid schemes for three-dimensional incompressible flows

Journal of Computational Physics

Highly energy-conservative finite difference method for the cylindrical coordinate system

Journal of Computational Physics

A simple compact fourth-order Poisson solver on polar geometry

Journal of Computational Physics

A highly accurate technique for the treatment of flow equations at the polar axis in cylindrical coordinates using series expansions

Journal of Computational Physics

Fully conservative finite difference scheme in cylindrical coordinates for incompressible flow simulations

Journal of Computational Physics

A formulation of Navier-Stokes problem in cylindrical coordinates applied to the 3D entry jet in a duct

Journal of Computational Physics

Pseudospectral solution of linear evolution equations of second order in space and time on unstructured quadrilateral subdomain topologies

Journal of Computational Physics

A fast iterative solver for the variable coefficient diffusion equation on a disk

Journal of Computational Physics

Finite-difference method for incompressible Navier-Stokes equations in arbitrary orthogonal curvilinear coordinates

Journal of Computational Physics

Spectral radial basis functions for full sphere computations

Journal of Computational Physics

An arbitrary Lagrangian-Eulerian formulation for the numerical simulation of flow patterns generated by the hydromedusa Aequorea victoria

Journal of Computational Physics

Finite differences for coarse azimuthal discretization and for reduction of effective resolution near origin of cylindrical flow equations

Journal of Computational Physics

Comparing seven spectral methods for interpolation and for solving the Poisson equation in a disk: Zernike polynomials, Logan-Shepp ridge polynomials, Chebyshev-Fourier Series, cylindrical Robert functions, Bessel-Fourier expansions, square-to-disk conformal mapping and radial basis functions

Journal of Computational Physics

A 3D pseudospectral method for cylindrical coordinates. Application to the simulations of rotating cavity flows

Journal of Computational Physics

A hybrid level set-volume constraint method for incompressible two-phase flow

Journal of Computational Physics