A Diffusion Hydrodynamic Model

A Diffusion Hydrodynamic Model

Author: Theodore V. Hromadka II

Publisher: BoD – Books on Demand

Published: 2020-09-09

Total Pages: 90

ISBN-13: 1839628170

DOWNLOAD EBOOK

The Diffusion Hydrodynamic Model (DHM), as presented in the 1987 USGS publication, was one of the first computational fluid dynamics computational programs based on the groundwater program MODFLOW, which evolved into the control volume modeling approach. Over the following decades, others developed similar computational programs that either used the methodology and approaches presented in the DHM directly or were its extensions that included additional components and capacities. Our goal is to demonstrate that the DHM, which was developed in an age preceding computer graphics/visualization tools, is as robust as any of the popular models that are currently used. We thank the USGS for their approval and permission to use the content from the earlier USGS report.


Analysis of Hydrodynamic Models

Analysis of Hydrodynamic Models

Author: Peter Constantin

Publisher: SIAM

Published: 2017-04-25

Total Pages: 67

ISBN-13: 1611974798

DOWNLOAD EBOOK

Analysis of Hydrodynamic Models presents a concise treatment of a number of partial differential equations of hydrodynamic origin, including the incompressible Euler equations, SQG, Boussinesq, incompressible porous medium, and Oldroyd-B. The author?s approach is based on properties of the particle trajectory maps and on analysis of the back-and-forth passage between the Lagrangian and the Eulerian descriptions. This concise, unified approach brings readers up to date on current open problems. This book is intended for graduate students and junior researchers in mathematics.


Verification of Diffusion Hydrodynamic Model

Verification of Diffusion Hydrodynamic Model

Author: Theodore V. V. Hromadka II

Publisher:

Published: 2019

Total Pages: 0

ISBN-13:

DOWNLOAD EBOOK

The efficacy of the one- and two-dimensional diffusion hydrodynamic model (DHM) for predicting flow characteristics resulting from a dam-break scenario is tested. The model results, for different inflow scenarios, are compared with the standard United States Geological Survey (USGS) K-634 model. The sensitivity of the model results to grid spacing and the chosen time step are presented. The model results are in close agreement.


Reduction of the Diffusion Hydrodynamic Model to Kinematic Routing

Reduction of the Diffusion Hydrodynamic Model to Kinematic Routing

Author: Theodore V. V. Hromadka II

Publisher:

Published: 2019

Total Pages: 0

ISBN-13:

DOWNLOAD EBOOK

In this chapter, the kinematic routing option of the diffusion hydrodynamic model for one-dimensional flows is presented along with the underlying pinning of kinematic flow. The kinematic model results are compared with the full model and K-634 model output data for the mild and steep channel.


Mathematical Modeling of Collective Behavior in Socio-Economic and Life Sciences

Mathematical Modeling of Collective Behavior in Socio-Economic and Life Sciences

Author: Giovanni Naldi

Publisher: Springer Science & Business Media

Published: 2010-08-12

Total Pages: 437

ISBN-13: 0817649468

DOWNLOAD EBOOK

Using examples from finance and modern warfare to the flocking of birds and the swarming of bacteria, the collected research in this volume demonstrates the common methodological approaches and tools for modeling and simulating collective behavior. The topics presented point toward new and challenging frontiers of applied mathematics, making the volume a useful reference text for applied mathematicians, physicists, biologists, and economists involved in the modeling of socio-economic systems.


Numerical Modelling of Hydrodynamics for Water Resources

Numerical Modelling of Hydrodynamics for Water Resources

Author: Pilar Garcia Navarro

Publisher: CRC Press

Published: 2007-11-01

Total Pages: 402

ISBN-13: 020393217X

DOWNLOAD EBOOK

Overland flow modelling has been an active field of research for some years, but developments in numerical methods and computational resources have recently accelerated progress, producing models for different geometries and types of flows, such as simulations of canal and river networks. Flow in canals has traditionally been described using one-dimensional, depth-averaged, shallow water models; but a variety of simulation techniques now facilitate the management of hydrodynamic systems, providing models which incorporate complex geometry and diverse flows. Much effort has gone into elaborating canal operational rules based on decision support systems, with the dual aim of assuring water delivery and meeting flow control constraints. In natural water courses, water management problems are associated with the need to meet quality standards. Numerical modelling of advection-diffusion can be used to manage problems related to the movement of solutes in rivers and aquifers. The analysis of solute transport is used to safeguard the quality of surface and ground water and to help prevent eutrophication. Solute flow through the soil can be dynamically linked to overland flow for hydrological and agricultural applications. Advances in modelling also cast new light on sediment transport in rivers, exploring the complex dynamics of river bed erosion and deposition and assist in thee analysis of river-reservoir systems. All these issues are discussed in Numerical Modelling of Hydrodynamics for Water Resources, which will be useful to civil engineers, applied mathematicians, hydrologists, and physicists.


Quasi-hydrodynamic Semiconductor Equations

Quasi-hydrodynamic Semiconductor Equations

Author: Ansgar Jüngel

Publisher: Birkhäuser

Published: 2011-04-27

Total Pages: 301

ISBN-13: 303488334X

DOWNLOAD EBOOK

This book presents a hierarchy of macroscopic models for semiconductor devices, studying three classes of models in detail: isentropic drift-diffusion equations, energy-transport models, and quantum hydrodynamic equations. The derivation of each, including physical discussions, is shown. Numerical simulations for modern semiconductor devices are performed, showing the particular features of each. The author develops modern analytical techniques, such as positive solution methods, local energy methods for free-boundary problems and entropy methods.