Become an expert in Fluid Modeling in only 6 months"

One of the keys to the study of turbulence is that it cannot be calculated but rather modeled. Even in the case of research, it is done in very simplified domains, using the largest computers in the world for several months. This time and these resources are unattainable for the vast majority of companies, but one of the great advantages of modeling is that it avoids these problems. As a result, the demand for professionals with specialized knowledge in this area continues to increase. 

This is the reason why TECH has designed a Postgraduate diplomain Fluid Modeling, to provide students with advanced skills and knowledge in this area, which can guarantee them a successful future as engineers in this field.

Thus, this study plan offers a complete and accurate deepening in topics such as RANS Methods, LES Evolution, the Riemann Problem, Multiphase Flow or Bidirectional Cosimulation, among many other aspects of great relevance. 

All this, through a convenient 100% online modality that allows students to combine their studies with their other main obligations, without the need to travel or fixed schedules. In addition, with the possibility of accessing all the theoretical and practical material from the first day, with total freedom and from any device with internet connection, whether mobile, computer or tablet. 

Acquire updated knowledge in Fluid Modeling and stand out in a booming sector"

This Postgraduate diploma in Fluid Modeling 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 Fluid Modeling
• 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 

Deepen your knowledge and acquire new skills in Convective Heat Transfer or Bidirectional Cosimulation"

The program’s teaching staff includes professionals from the 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.      

 Enroll now and access all the content in Fluid Modeling, with no time limits or need to travel"

Learn all about Solid-Fluid Thermal Coupling, thanks to the most complete theoretical and practical material"

This Postgraduate diploma in Fluid Modeling has been designed by the outstanding professionals that make up TECH team of experts. They have been based on the most efficient pedagogical methodology, Relearning, as well as on the most rigorous and updated sources, to create theoretical and practical contents that are easy to assimilate, which will prevent the student from having to dedicate excessive time to study.  

Dynamic and practical content on Fluid Modeling that you can access at any time and from anywhere"  

Module 1. Modeling of turbulence in Fluid 

1.1. Turbulence. Key features 

1.1.1. Dissipation and diffusivity 
1.1.2. Characteristic scales. Orders of magnitude 
1.1.3. Reynolds Numbers 

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

1.2.1. The Reynolds problem. The boundary layer 
1.2.2. Meteorology, Richardson and Smagorinsky 
1.2.3. The problem of chaos 

1.3. The energy cascade 

1.3.1. Smaller scales of turbulence 
1.3.2. Kolmogorov's hypothesis 
1.3.3. The cascade exponent 

1.4. The closure problem revisited 

1.4.1. 10 unknowns and 4 equations 
1.4.2. The turbulent kinetic energy equation
1.4.3. The turbulence cycle 

1.5. Turbulent viscosity

1.5.1. Historical background and parallels 
1.5.2. Initiation problem: jets 
1.5.3. Turbulent viscosity in CFD problems 

1.6. RANS methods 

1.6.1. The turbulent viscosity hypothesis 
1.6.2. The RANS equations 
1.6.3. RANS methods. Examples of use 

1.7. The evolution of SLE 

1.7.1. Historical Background 
1.7.2. Spectral filters 
1.7.3. Spatial filters. The problem in the wall 

1.8. Wall turbulence I

1.8.1. Characteristic scales 
1.8.2. The momentum equations 
1.8.3. The regions of a turbulent wall flow 

1.9. Wall turbulence II 

1.9.1. Boundary layers 
1.9.2. Dimensionless numbers of a boundary layer 
1.9.3. The Blasius solution 

1.10. The energy equation 

1.10.1. Passive scalars 
1.10.2. Active scalars. The Bousinesq approach 
1.10.3. Fanno and Rayleigh flows 

Module 2. Compressible Fluids 

2.1. Compressible Fluids 

2.1.1. Compressible and incompressible fluids. Differences 
2.1.2. Equation of State 
2.1.3. Differential equations of compressible fluids 

2.2. Practical examples of the compressible regime 

2.2.1. Shock Waves 
2.2.2. Prandtl-Meyer Expansion 
2.2.3. Nozzles 

2.3. Riemann's Problem 

2.3.1. Riemann's problem 
2.3.2. Solution of the Riemann problem by characteristics 
2.3.3. Non-linear systems: Shock Waves Rankine-Hugoniot condition 
2.3.4. Non-linear systems: Waves and expansion fans. Entropy condition 
2.3.5. Riemannian Invariants 

2.4. Euler Equations 

2.4.1. Invariants of the Euler equations 
2.4.2. Conservative vs. primitive variables 
2.4.3. Solution Strategies 

2.5. Solutions to the Riemann problem 

2.5.1. Exact solution 
2.5.2. Conservative numerical methods 
2.5.3. Godunov's method 
2.5.4. Flux Vector Splitting 

2.6. Approximate Riemann solvers 

2.6.1. HLLC 
2.6.2. Roe 
2.6.3. AUSM 

2.7. Higher order methods 

2.7.1. Problems of higher order methods 
2.7.2. Limiters and TVD methods 
2.7.3. Practical Examples 

2.8. Additional aspects of the Riemann Problem 

2.8.1. Non-homogeneous equations 
2.8.2. Splitting dimensional 
2.8.3. Applications to the Navier-Stokes equations 

2.9. Regions with high gradients and discontinuities 

2.9.1. Importance of meshing 
2.9.2. Automatic mesh adaptation (AMR) 
2.9.3. Shock Fitting Methods 

2.10. Compressible flow applications 

2.10.1. Sod problem 
2.10.2. Supersonic wedge 
2.10.3. Convergent-divergent nozzle 

Module 3. Multiphase flow 

3.1. Flow regimes 

3.1.1. Continuous phase 
3.1.2. Discrete phase 
3.1.3. Discrete phase populations 

3.2. Continuous phases 

3.2.1. Properties of the liquid-gas interface 
3.2.2. Each phase a domain 
3.2.3. Phase resolution independently
3.2.4. Coupled solution 
3.2.5. Fluid fraction as a descriptive phase scalar 
3.2.6. Reconstruction of the gas-liquid interface 

3.3. Marine simulation 

3.3.1. Wave regimes. Wave height vs. depth 
3.3.2. Input boundary condition. Wave simulation 
3.3.3. Non-reflective output boundary condition. Numerical beach 
3.3.4. Lateral boundary conditions. Lateral wind and drift 

3.4. Surface Tension 

3.4.1. Physical Phenomenon of the Surface Tension 
3.4.2. Modeling 
3.4.3. Interaction with surfaces. Angle of wetting 

3.5. Phase shift 

3.5.1. Source and sink terms associated with phase change 
3.5.2. Evaporation models 
3.5.3. Condensation and precipitation models. Nucleation of droplets 
3.5.4. Cavitation 

3.6. Discrete phase: particles, droplets and bubbles 

3.6.1. Resistance strength 
3.6.2. The buoyancy force 
3.6.3. Inertia 
3.6.4. Brownian motion and turbulence effects 
3.6.5. Other forces 

3.7. Interaction with the surrounding fluid 

3.7.1. Generation from continuous phase 
3.7.2. Aerodynamic drag 
3.7.3. Interaction with other entities, coalescence and rupture
3.7.4. Boundary Conditions 

3.8. Statistical description of particle populations. Packages 

3.8.1. Transportation of stocks 
3.8.2. Stock boundary conditions 
3.8.3. Stock interactions 
3.8.4. Extending the discrete phase to populations 

3.9. Water film 
 

3.9.1. Water Sheet Hypothesis 
3.9.2. Equations and modeling 
3.9.3. Source term from particles 

3.10. Example of an application with OpenFOAM 

3.10.1. Description of an industrial problem 
3.10.2. Setup and simulation 
3.10.3. Visualization and interpretation of results 

Module 4. Advanced CFD Models

4.1. Multiphysics 

4.1.1. Multiphysics Simulations 
4.1.2. System Types 
4.1.3. Application Examples 

4.2. Unidirectional Cosimulation 

4.2.1. Unidirectional Cosimulation. Advanced Aspects 
4.2.2. Information exchange schemes 
4.2.3. Applications 

4.3. Bidirectional Cosimulation 

4.3.1. Bidirectional Cosimulation. Advanced Aspects 
4.3.2. Information exchange schemes 
4.3.3. Applications 

4.4. Convection Heat Transfer 

4.4.1. Heat Transfer by Convection. Advanced Aspects 
4.4.2. Convective heat transfer equations 
4.4.3. Methods for solving convection problems 

4.5. Conduction Heat Transfer 

4.5.1. Conduction Heat Transfer. Advanced Aspects 
4.5.2. Conductive heat transfer equations 
4.5.3. Methods of solving driving problems 

4.6. Radiative Heat Transfer 

4.6.1. Radiative Heat Transfer. Advanced Aspects 
4.6.2. Radiation heat transfer equations 
4.6.3. Radiation troubleshooting methods 

4.7. Solid-fluid-heat coupling 

4.7.1. Solid-fluid-heat coupling 
4.7.2. Solid-fluid thermal coupling 
4.7.3. CFD and FEM 

4.8. Aeroacoustics 

4.8.1. Computational aeroacoustics 
4.8.2. Acoustic analogies 
4.8.3. Resolution methods 

4.9. Advection-diffusion problems 

4.9.1. Diffusion-advection problems 
4.9.2. Scalar Fields 
4.9.3. Particle methods 

4.10. Coupling models with reactive flow 

4.10.1. Reactive Flow Coupling Models. Applications 
4.10.2. System of differential equations. Solving the chemical reaction 
4.10.3. CHEMKINs 
4.10.4. Combustion: flame, spark, Wobee 
4.10.5. Reactive flows in a non-stationary regime: quasi-stationary system hypothesis
4.10.6. Reactive flows in turbulent flows
4.10.7. Catalysts  

A curriculum created to guarantee your success as a Fluid Modeling expert"