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.


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.


Hydrodynamics and Transport for Water Quality Modeling

Hydrodynamics and Transport for Water Quality Modeling

Author: James L. Martin

Publisher: CRC Press

Published: 2018-05-04

Total Pages: 820

ISBN-13: 1351439871

DOWNLOAD EBOOK

Hydrodynamics and Transport for Water Quality Modeling presents a complete overview of current methods used to describe or predict transport in aquatic systems, with special emphasis on water quality modeling. The book features detailed descriptions of each method, supported by sample applications and case studies drawn from the authors' years of experience in the field. Each chapter examines a variety of modeling approaches, from simple to complex. This unique text/reference offers a wealth of information previously unavailable from a single source. The book begins with an overview of basic principles, and an introduction to the measurement and analysis of flow. The following section focuses on rivers and streams, including model complexity and data requirements, methods for estimating mixing, hydrologic routing methods, and unsteady flow modeling. The third section considers lakes and reservoirs, and discusses stratification and temperature modeling, mixing methods, reservoir routing and water balances, and dynamic modeling using one-, two-, and three-dimensional models. The book concludes with a section on estuaries, containing topics such as origins and classification, tides, mixing methods, tidally averaged estuary models, and dynamic modeling. Over 250 figures support the text. This is a valuable guide for students and practicing modelers who do not have extensive backgrounds in fluid dynamics.