Now showing items 1-9 of 9
Solution of potential problems using an overdetermined complex boundary integral method
(Elsevier, 1989-10)
The advantages of solving potential problems using an overdetermined boundary integral element method are examined. Representing a 2-dimensional potential solution by an analytic complex function forms two algebraic systems ...
Spectral method solution of the Stokes equations on nonstaggered grids
(Elsevier, 1991-05)
The Stokes equations are solved using spectral methods with staggered and nonstaggered grids. Numerous ways to avoid the problem of spurious pressure modes are presented, including new techniques using the pseudospectral ...
Three-dimensional desingularized boundary integral methods for potential problems
(John Wiley & Sons, Ltd, 1991-05-05)
The concept of desingularization in three-dimensional boundary integral computations is re-examined. The boundary integral equation is desingularized by moving the singular points away from the boundary and outside the ...
A VORTEX LATTICE METHOD FOR HIGH-SPEED PLANNING
(John Wiley & Sons, Ltd, 1996-03-30)
A three-dimensional numerical model using vortex lattice methods (VLMs) is developed to solve the steady planning problem. Planing hydrodynamics have similarities to the aerodynamic swept wing problem—the fundamental ...
The complementary RANS equations for the simulation of viscous flows
(John Wiley & Sons, Ltd., 2005-05-20)
A complementary set of Reynolds-averaged Navier–Stokes (RANS) equations has been developed for steady incompressible, turbulent flows. The method is based on the Helmholtz decomposition of the velocity vector field into a ...
Numerical computations of two-dimensional solitary waves generated by moving disturbances
(John Wiley & Sons, Ltd, 1993-11-30)
Two-dimensional solitary waves generated by disturbances moving near the critical speed in shallow water are computed by a time-stepping procedure combined with a desingularized boundary integral method for irrotational ...
An efficient finite element method for treating singularities in Laplace's equation
(Elsevier, 1991-10)
We present a new finite element method for solving partial differential equations with singularities caused by abrupt changes in boundary conditions or sudden changes in boundary shape. Terms from the local solution ...
Singular finite elements for the sudden-expansion and the die-swell problems
(John Wiley & Sons, Ltd, 1990-03)
The singular finite element method is used to solve the sudden-expansion and the die-swell problems in order to improve the accuracy of the solution in the vicinity of the singularity and to speed up the convergence. The ...
A singular finite element for Stokes flow: The stick–slip problem
(John Wiley & Sons, Ltd, 1989-11)
Abrupt changes in boundary conditions in viscous flow problems give rise to stress singularities. Ordinary finite element methods account effectively for the global solution but perform poorly near the singularity. In this ...