GENERALIZED CIRCLE AND SPHERE THEOREMS FOR INVISCID AND VISCOUS FLOWS ∗ (2008)
Abstract. The circle and sphere theorems in classical hydrodynamics are generalized to a composite double body. The double body is composed of two overlapping circles/spheres of arbitrary radii...
A fast parallel algorithm for the Poisson equation on a disk (2008)
Leonardo Borges, Prabir Daripa
A parallel algorithm for solving the Poisson equation with either Dirichlet or Neumann conditions is presented. The solver follows some of the principles introduced in a previous fast algorithm for...
The Fastest Smooth Taylor Bubble (2007)
The complicated nature of singularities associated with topological transition in the plane Taylorbubble problem is briefly discussed in the context of estimating the speed of the fastest smooth...
Weakly Non-local Solitary Wave Solutions of a Singularly Perturbed Boussinesq Equation (2007)
We study the singularly perturbed (sixth-order) Boussinesq equation recently introduced by Daripa and Hua [Appl. Math. Comput. 101 (1999), 159-207]. This equation describes the bi-directional...
. We consider an illposed Boussinesq equation which arises in shallow water waves and nonlinear lattices. This equation has growing and decaying modes in the linear as well as nonlinear regimes and...
Exact analytical solutions are found for the steady state creeping flow in and around a vapor-liquid compound droplet, consisting of two orthogonally intersecting spheres of arbitrary radii (a and...
Running Head: Pointed Bubble PACS Index Code: 47.15Hg (2007)
The Taylor-bubble problem consists of two fluids: a gas of negligible density in the interior of the bubble and an incompressible non-viscous fluid in the exterior of the bubble. The bubble is...
GENERALIZED CIRCLE AND SPHERE THEOREMS FOR INVISCID AND VISCOUS FLOWS (2007)
Abstract. The circle and sphere theorems in classical hydrodynamics are generalized to a composite double body. The double body is composed of two overlapping circles/spheres of arbitrary radii...
The pulsatile blood flow in an eccentric catheterized artery is studied numerically by making use of an extended version of the fast algorithm of Borges and Daripa [Jour. Comput. Phys., 2001]. The...
Leonardo Borges, Prabir Daripa
A parallel algorithm for solving the Poisson equation with either Dirichlet or Neumann conditions is presented. The solver follows some of the principles introduced in a previous fast algorithm for...
A Parallel Version of A Fast Algorithm for Singular Integral Transforms (2000)
Leonardo Borges, Prabir Daripa
this paper we develop a parallel version of the fast algorithm by redefining the inherently sequential recurrences present in the original sequential formulation. The parallel version only utilizes a...
Some Useful Filtering Techniques for Illposed Problems (1998)
Some useful filtering techniques for computing approximate solutions of illposed problems are presented. Special attention is given to the role of smoothness of the filters and the choice of time...
Pointed Taylor Bubble Revisited (1996)
INTRODUCTION The Taylor bubble problem consists of two fluids: a gas of negligible density in the interior of the bubble and an incompressible nonviscous fluid in the exterior of the bubble. The...
Generalized Circle and Sphere Theorems for Inviscid and Viscous Flows (0000)
RESUMEN RESUMEN The circle and sphere theorems in classical hydrodynamics are generalized to a composite double body. The double body is composed of two overlapping circles/spheres...
Generalized Circle and Sphere Theorems for Inviscid and Viscous Flows
RESUMEN RESUMEN The circle and sphere theorems in classical hydrodynamics are generalized to a composite double body. The double body is composed of two overlapping...
A Computational Study of Rising Plane Taylor Bubbles
The problem of a plane bubble rising in a 2-D tube is revisited using Birkho#'s (1957) formulation. The equations in this formulation have a one parameter (Froude number F ) family of solutions...
An Efficient and Novel Numerical Method for Quasiconformal Mappings of Doubly Connected Domains
. A numerical method for quasiconformal mapping of doubly connected domains onto annuli is presented. The ratio R of the radii of the annulus is not known a priori and is determined as part of the...
Singular Integral Transforms and Fast Numerical Algorithms
. Fast algorithms for the accurate evaluation of some singular integral operators that arise in the context of solving certain partial differential equations within the unit circle in the complex...