Numerical modeling of flow and transport processes

Numerical modeling of flow and transport processes

Course Catalog

Content:

This course introduces modern methods of numerical computation of flow and transport processes in the geosphere. An initial overview of the manifold problems, applications and solution methods of flow and transport problems in the hydrosphere will be given. The latter includes, starting from porous subsurface (groundwater flows), the flowing waters (up to flood), flows in lakes and oceans, and the atmospheric (meteorological) flows. Then, the partial differential equations (PDG) for the different flow and transport problems in the mentioned hydrosphere floors are derived and their peculiarities, differences and similarities are worked out. After classifying the PDGs in question, analytical and numerical methods for solving them are presented. The latter can be essentially divided into finite difference (FD) and finite element (FE) methods. Subsequently, the theoretical foundations of the same and their implementation in numerical algorithms are presented. The main focus of the applications of the FD and FE methods are groundwater flow, solute and heat transport models. In addition, the theoretical foundations of some hydrodynamic surface water and quality models are discussed. Beyond the independent development of simple numerical codes in MATLAB and Fortran, some professional program packages for solving flow and transport models in the above environmentally relevant areas are covered. 

Outline:

• Overview of manifold flow and transport processes in engineering hydraulics and the geosphere.


• Partial differential equations (PDG) for the various flow and transport problems
• Derivation of the PDG
• Classification of PDG (hyperbolic, parabolic, elliptic)
• Solution methods (analytical, numerical)


• Numerical methods
• Method of finite differences (FD)
• Finite Element (FE) method


• Professional flow and transport models 
• Modeling applications
  • Groundwater flows
  • Hydraulic pipe flows
  • Free surface flows, channel flows, sea and ocean flows, atmospheric flows
  • Mass and heat transport in flows

Previous knowledge: Hydromechanics II, Engineering Hydrology I, General Hydrogeology

The lecture will be recognized with 3 credits after successful homework.

 

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