Profundiza en tus conocimientos en el Modelado de la Turbulencia en Fluido o en Métodos de los Volúmenes Finitos”

Computational Fluid Dynamics is one of the most relevant computer simulation techniques. Its multiple advantages are used in a large number of sectors, among which the industrial sector stands out, since companies in this field are the main users of CFD Simulation. As a result, the demand for expert engineers with knowledge in this sector and advanced skills in this technique is increasing steadily.

For this reason, TECH has designed a University Expert in CFD Simulation in Industrial Environments, with the aim of providing students with specialized knowledge on Finite Volume Methods, Temporal Integration, Turbulent Structures, the Energy Equation, Postprocessing in CFD or Simulation Methods, among many other essential aspects. Thus, they will obtain the necessary skills to face their future in this area, with the maximum possible efficiency and the ability to solve any inconvenience.

All this, through a convenient 100% online modality that gives students total freedom to organize their studies and schedules, without the need to travel. In addition, being able to combine the completion of this program with their other obligations and with the possibility of accessing all the content from any device with internet connection, whether computer, tablet or cell phone.

Learn how to get the most out of CFD Simulation in Industrial Environments" 

This Postgraduate diploma in CFD Simulation in Industrial Environments contains the most complete and up-to-date program on the market. The most important features include:

• The development of case studies presented by experts in CFD Simulation in Industrial Environments
• The graphic, schematic, and practical contents with which they are created, provide scientific and practical information on the disciplines that are essential for professional practice
• Practical exercises where self-assessment can be used to improve learning
• Its special emphasis on innovative methodologies
• Theoretical lessons, questions to the expert, debate forums on controversial topics, and individual reflection assignments
• Content that is accessible from any fixed or portable device with an Internet connection

Acquire new knowledge about Good Practices and the different Errors that can occur in CFD Simulation"

The program’s teaching staff includes professionals from sector who contribute their work experience to this educational program, as well as renowned specialists from leading societies and prestigious universities.

Its multimedia content, developed with the latest educational technology, will provide the professional with situated and contextual learning, i.e., a simulated environment that will provide an immersive education programmed to learn in real situations.

The design of this program focuses on Problem-Based Learning, by means of which the professional must try to solve the different professional practice situations that are presented throughout the academic course. For this purpose, the student will be assisted by an innovative interactive video system created by renowned experts.

Get to know the future of CFD Simulation and adapt your profile to reach your most demanding professional goals in a short time"

With TECH, you will have access to the best theoretical and practical content on Pressure Velocity Convergence Loop"

The structure and content of this curriculum have been created by professionals who are experts in the field and have been carefully and rigorously selected by TECH. In this way, we can guarantee that the contents are of the highest quality and that all information is based on the most complete and up-to-date sources. In addition, throughout the creation process, the Relearning pedagogical methodology has been applied, which ensures the best possible assimilation of the subject matter, thanks to the natural and precise reiteration of the essential concepts.

A complete and dynamic content, designed under the most precise and efficient pedagogical methodology, Relearning"

Module 1. CFD in Research and Modeling Environments

1.1. Research in Computational Fluid Dynamics (CFD)

1.1.1. Challenges in turbulence
1.1.2. Advances in Chronic Obstructive Pulmonary Disease
1.1.3. Artificial Intelligence

1.2. Finite differences

1.2.1. Presentation and application to a 1D problem. Taylor's Theorem
1.2.2. 2D Applications
1.2.3. Boundary Conditions

1.3. Compact finite differences

1.3.1. Objective SK Lele's article
1.3.2. Obtaining coefficients
1.3.3. Application to a 1D problem

1.4. The Fourier transform

1.4.1. The Fourier transform. From Fourier to the present day
1.4.2. The FFTW package
1.4.3. Cosine transform: Tchebycheff

1.5. Spectral methods

1.5.1. Application to a fluid problem
1.5.2. Pseudo-spectral methods: Fourier + CFD
1.5.3. Placement methods

1.6. Advanced time discretization methods

1.6.1. The Adams-Bamsford method
1.6.2. The Crack-Nicholson method
1.6.3. Runge-Kutta

1.7. Structures in turbulence

1.7.1. The Vortex
1.7.2. The life cycle of a turbulent structure
1.7.3. Visualization Techniques

1.8. The Characteristics Method

1.8.1. Compressible Fluids
1.8.2. Application A breaking wave
1.8.3. Application: Burguers equation

1.9. CFD and supercomputing

1.9.1. The memory problem and the evolution of computers
1.9.2. Parallelization techniques
1.9.3. Domain decomposition

1.10. Open problems in turbulence

1.10.1. Modeling and the Von-Karma constant
1.10.2. Aerodynamics: boundary layers
1.10.3. Noise in CFD problems

Module 2. CFD in Application Environments: Finite Volume Methods

2.1. Finite Volume Methods

2.1.1. Definitions in FVM
2.1.2. Historical Background
2.1.3. MVF in Structures

2.2. Source Terms

2.2.1. External volumetric forces

2.2.1.1. Gravity, centrifugal force

2.2.2. Volumetric (mass) and pressure source term (evaporation, cavitation, chemical)
2.2.3. Scalar source term

2.2.3.1. Temperature, species

2.3. Applications of boundary conditions

2.3.1. Input and Output
2.3.2. Symmetry condition
2.3.3. Wall condition

2.3.3.1. Tax values
2.3.3.2. Values to be solved by parallel calculation
2.3.3.3. Wall models

2.4. Boundary Conditions

2.4.1. Known boundary conditions: Dirichlet

2.4.1.1. Scalars
2.4.1.2. Diseases

2.4.2. Boundary conditions with known derivative: Neumann

2.4.2.1. Zero gradient
2.4.2.2. Finite gradient

2.4.3. Cyclic boundary conditions: Born-von Karman
2.4.4. Other boundary conditions: Robin

2.5. Temporary integration

2.5.1. Explicit and implicit Euler
2.5.2. Lax-Wendroff time step and variants (Richtmyer and MacCormack)
2.5.3. Runge-Kutta multi-stage time step

2.6. Upwind Schematics

2.6.1. Riemman's Problem
2.6.2. Main upwind schemes: MUSCL, Van Leer, Roe, AUSM
2.6.3. Design of an upwind spatial scheme

2.7. High order schemes

2.7.1. High-order discontinuous Galerkin
2.7.2. ENO and WENO
2.7.3. High Order Schemes. Advantages and Disadvantages

2.8. Pressure-velocity convergence loop

2.8.1. PISO
2.8.2. SIMPLE, SIMPLER and SIMPLEC
2.8.3. PIMPLE
2.8.4. Transient loops

2.9. Moving contours

2.9.1. Overlocking techniques
2.9.2. Mapping: mobile reference system
2.9.3. Método de los límites sumergidos
2.9.4. Overlapping meshes

2.10. Errors and uncertainties in CFD modeling

2.10.1. Precision and accuracy
2.10.2. Numerical errors
2.10.3. Input and physical model uncertainties

Module 3. Modeling of turbulence in Fluid

3.1. Turbulence. Key features

3.1.1. Dissipation and diffusivity
3.1.2. Characteristic scales. Orders of magnitude
3.1.3. Reynolds Numbers

3.2. Definitions of Turbulence. From Reynolds to the present day

3.2.1. The Reynolds problem. The boundary layer
3.2.2. Meteorology, Richardson and Smagorinsky
3.2.3. The problem of chaos

3.3. The energy cascade

3.3.1. Smaller scales of turbulence
3.3.2. Kolmogorov's hypothesis
3.3.3. The cascade exponent

3.4. The closure problem revisited

3.4.1. 10 unknowns and 4 equations
3.4.2. The turbulent kinetic energy equation
3.4.3. The turbulence cycle

3.5. Turbulent viscosity

3.5.1. Historical background and parallels
3.5.2. Initiation problem: jets
3.5.3. Turbulent viscosity in CFD problems

3.6. RANS methods

3.6.1. The turbulent viscosity hypothesis
3.6.2. The RANS equations
3.6.3. RANS methods. Examples of use

3.7. The evolution of SLE

3.7.1. Historical Background
3.7.2. Spectral filters
3.7.3. Spatial filters. The problem in the wall

3.8. Wall turbulence I

3.8.1. Characteristic scales
3.8.2. The momentum equations
3.8.3. The regions of a turbulent wall flow

3.9. Wall turbulence II

3.9.1. Boundary layers
3.9.2. Dimensionless numbers of a boundary layer
3.9.3. The Blasius solution

3.10. The energy equation

3.10.1. Passive scalars
3.10.2. Active scalars. The Bousinesq approach
3.10.3. Fanno and Rayleigh flows

Module 4. Post-processing, validation and application in CFD

4.1. Postprocessing in CFD I

4.1.1. Postprocessing on Plane and Surfaces

4.1.1.1. Post-processing in the plane
4.1.1.2. Post-processing on surfaces

4.2. Postprocessing in CFD II

4.2.1. Volumetric Postprocessing

4.2.1.1. Volumetric post-processing I
4.2.1.2. Volumetric post-processing II

4.3. Free CFD post-processing software

4.3.1. Free Postprocessing Software
4.3.2. Paraview
4.3.3. Paraview usage example

4.4. Convergence of simulations

4.4.1. Convergence
4.4.2. Mesh convergence
4.4.3. Numerical convergence

4.5. Classification of methods

4.5.1. Applications
4.5.2. Types of Fluid
4.5.3. Scales
4.5.4. Calculation machines

4.6. Model validation

4.6.1. Need for Validation
4.6.2. Simulation vs Experiment
4.6.3. Validation examples

4.7. Simulation methods. Advantages and Disadvantages

4.7.1. RANS
4.7.2. LES, DES, DNS
4.7.3. Other Methods
4.7.4. advantages and disadvantages

4.8. Examples of methods and applications

4.8.1. Case of a body subjected to aerodynamic forces
4.8.2. Thermal case
4.8.3. Multiphase case

4.9. Good Simulation Practices

4.9.1. Importance of Good Practices
4.9.2. Best Practices
4.9.3. Simulation errors

4.10. Free and commercial software

4.10.1. FVM Software
4.10.2. Software for other methods
4.10.3. Advantages and Disadvantages
4.10.4. CFD Simulation Futures

Access all content and a wide variety of additional information, from day one and with any device with an internet connection"