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Computational fluid dynamics (CFD) is a simulation tool used in a variety of fields, from aerospace to energy and civil engineering. Advanced CFD techniques enable computer scientists, engineers and computer scientists to simulate and analyze complex situations, resulting in a better understanding of physical phenomena and more efficient system design.

For this reason, TECH Global University has designed a University Postgraduate certificate in Advanced CFD Techniques to provide students with the necessary skills and competencies to be able to perform their work as specialists with the highest possible efficiency and quality. Thus, throughout this program, aspects such as Post-processing, Shape Functions, Development of Boundary Conditions, Molecular Equilibrium and Modeling will be addressed.

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This Postgraduate certificate in Course in Advanced CFD Techniques contains the most complete and up-to-date educational program on the market. Its most outstanding features are:

• The development of case studies presented by experts in Advanced CFD Techniques
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• 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 

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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.  

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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.   

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Module 1. Advanced Methods for CFD

1.1. Finite Element Method (FEM)

1.1.1. Domain discretization. Finite Elements 
1.1.2. Form functions. Reconstruction of the continuous field 
1.1.3. Assembly of the coefficient matrix and boundary conditions 
1.1.4. Solving the system of equations 

1.2. FEM Case Studies Development of a FEM simulator 

1.2.1. Form functions 
1.2.2. Assembling the coefficient matrix and applying boundary conditions 
1.2.3. Solving the system of equations 
1.2.4. Post-Process

1.3. Smoothed Particle Hydrodynamics (SPH)

1.3.1. Fluid field mapping from particle values. 
1.3.2. Evaluation of derivatives and particle interaction 
1.3.3. The smoothing function. The kernel 
1.3.4. Boundary Conditions 

1.4. SPH: Development of a simulator based on SPH

1.4.1. The kernel 
1.4.2. Storage and sorting of particles in voxels 
1.4.3. Development of boundary conditions 
1.4.4. Post-Process   

1.5. Direct Simulation Monte Carlo (DSMC)

1.5.1. Kinetic-molecular theory 
1.5.2. Statistical mechanics 
1.5.3. Molecular equilibrium

1.6. DSMC: Methodology

1.6.1. Applicability of the DSMC method 
1.6.2. Modeling 
1.6.3. Considerations for the applicability of the method

1.7. DSMC: Applications

1.7.1. Example in 0-D: Thermal relaxation 
1.7.2. Example in 1-D: Normal shock wave 
1.7.3. Example in 2-D: Supersonic cylinder 
1.7.4. Example in 3-D: Supersonic corner 
1.7.5. Complex example: Space Shuttle 

1.8.  Lattice-Boltzmann Method (LBM)

1.8.1. Boltzmann equation and equilibrium distribution 
1.8.2. De Boltzmann a Navier-Stokes. Chapman-Enskog Expansion 
1.8.3. From probabilistic distribution to physical magnitude 
1.8.4. Conversion of units. From physical quantities to lattice quantities 

1.9. LBM: Numerical approximation

1.9.1. The LBM Algorithm. Transfer step and collision step 
1.9.2. Collision operators and momentum normalization 
1.9.3. Boundary Conditions 

1.10. LBM: Case Study

1.10.1. Development of a simulator based on LBM 
1.10.2. Experimentation with various collision operators 
1.10.3. Experimen

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