We present a high-order Galerkin method in both space and time for the 1D unsteady linear advection-diffusion equation. Three Interior Penalty Discontinuous Galerkin (IPDG) schemes are detailed for the space discretiz...
We studied the foraging processes of wildebeest using an advection-diffusion equation. We equipped the model with data collected between 1999 and 2007 from the Serengeti ecosystem from 18 GPS-collared wildebeest. Resu...
The current study examines the special class of a generalized reaction-advection-diffusion dynamical model that is called the system of coupled Burger’s equations.This system plays a vital role in the essential areas...
This work was supported by the German Research Foundation(DFG)through the Collaborative Research Center SFB TRR 75 Droplet Dynamics Under Extreme Ambient Conditions
We construct an approximate Riemann solver for scalar advection-diffusion equations with piecewise polynomial initial data.The objective is to handle advection and diffusion simultaneously to reduce the inherent numer...
The authors are grateful to the anonymous reviewers for their useful comments and suggestions;The authors are supported by the NSF of China (No. 11601114, No.11401138);the Anhui Provincial Natural Science Foundation (No. 1608085QA14).
Solving the advection-diffusion equation in irregular geometries is of great importance for realistic simulations. To this end, we adopt multi-patch parameterizations to describe irregular geometries. Different from t...
supported by the National Research Foundation of Korea(NRF)grant funded by the Korean government(MSIT)(2011-0030013 and 2018R1A2B2007117)
A lattice Boltzmann numerical modeling method was developed to predict skin concentration after topical application of a drug on the skin. The method is based on D2Q9 lattice spaces associated with the Bhatnagar-Gross...
In this paper, a posteriori error estimates for the generalized Schwartz method with Dirichlet boundary conditions on the interfaces for advection-diffusion equation with second order boundary value problems are prove...
supported by funding from the USDA Forest Service Northern Research Station iTree Spatial Simulation (No. PL-5937);the National Urban and Community Forest Advisory Council iT ree Tool (No. 11-DG-11132544340);The SUNY ESF Department of Environmental Resources Engineering provided computing facilities and logistical support
Flood wave propagation modeling is of critical importance to advancing water resources management and protecting human life and property. In this study, we investigated how the advection-diffusion routing model perfor...
The finite difference method such as alternating group iterative methods is useful in numerical method for evolutionary equations and this is the standard approach taken in this paper. Alternating group explicit (AGE)...
This paper presents discontinuous Legendre wavelet Galerkin (DLWG) approach for solving one-dimensional advection-diffusion equation (ADE). Variational formulation of this type equation and corresponding numerical flu...