Catchment morphology and drainage density are strongly influenced by hillslope processes. The consequences of several different hillslope process laws are explored in a series of experiments with a numerical model of drainage basin evolution. Five different models are considered , including a simple diffusive-advective process transition, a runoff-generation threshold, an erosion threshold, and...

A sensitivity analysis was conducted to determine the relative effects of measurement errors in climate data input parameters on the accuracy of calculated reference crop evapotranspiration (ET) using the ASCE-EWRI Standardized Reference ET Equation. Data for the period of 1995 to 2008 from an automated weather station located at the USDA-ARS Conservation and Production Research Laboratory at B...

The present work introduces a modified scheme for the solution of compressible 2-D full Navier-Stokes equations, using Flux Vector Splitting method. As a result of this modification, numerical diffusion is reduced. The computer code which is developed based on this algorithm can be used easily and accurately to analyze complex flow fields with discontinuity in properties, in cases such as shock...

Abstract. We introduce a new computational technique for evolving interfaces, the flux-based level set method. A nonlinear degenerate advection-diffusion level set equation is discretized by a finite volume method using a complementary volume strategy. It enables to solve the problem in an efficient and stable way. Using a flux-based method of characteristics for the advective part and a semi-i...

Abstract We propose a second order, fully semi-Lagrangian method for the numerical solution of systems advection-diffusion-reaction equations, which is based on approach to approximate in time both advective and diffusive terms. The proposed allows use large steps, while avoiding linear systems, would be required by implicit discretization techniques. Standard interpolation procedures are used ...

A new direct solution method for the advection-diffusion equation is presented. By employing a semi-implicit time discretisation, the equation is rewritten as a heat equation with source terms. The solution is obtained by discretely approximating the integral convolution of the associated Green’s function with advective source terms. The heat equation has an exponentially decaying Green’s funct...

We describe a major extension to the Contour-Advective Semi-Lagrangian (CASL) algorithm (Dritschel & Ambaum, 1997, 2006). The extension, called ‘HyperCASL’ (HCASL), uses Lagrangian advection of material potential vorticity contours like CASL, but a Vortex-In-Cell (VIC) method for the treatment of diabatic forcing or damping. In this way, HyperCASL is fully Lagrangian regarding advection. A grid...