Abstract: No abstract available.

Abstract: The conservation form of the second-order Crowley advection scheme, as some authors have pointed out, may lead to numerical instability for multi-dimensional blows. Replacing the original second-order-accurate approximation ...

Abstract: The development of negative values for positive definite scalars in the solution of the advection equation is an important difficulty in numerical modeling. This paper proposes a new positively definite advection scheme ...

Abstract: The purpose of this note is to show that the popular Crowley advection scheme, which is usually considered to have first-order accuracy in time for a nonuniform velocity field, can be constructed so as to have second-order ...

Abstract: No abstract available.

Abstract: This note discusses the extension of the dissipative advection schemes, often referred to in meteorological literature as Crowley-type schemes, on advection equations with arbitrary forcing and/or source terms included. ...

Abstract: We study the flow of a density-stratified fluid past a three-dimensional obstacle, using a numerical model. Our special concern is the response of the fluid when the Froude number is near or less than unity. Linear theory ...

Abstract: The present paper contains a continuation of our study of the flow of a density-stratified fluid past three-dimensional obstacles for Froude number ?O(1). Linear theory (large Froude number) and potential-flow-type theory ...

Abstract: No abstract available.

Abstract: The authors attempt to find a bridge between the vorticity dynamics of a finite cross-stream length hydraulic jump implied by the Navier-Stokes equations and that given by the shallow-water approximation (SWA) with the ...