Computational Fluid Dynamics 2 from Udemy

What's inside

Learning objectives

Implementation of additional types of boundary conditions
Implementation of second-order interpolation for convection terms
Coding for unsteady flows
Mesh clustering

Energy equation
Collocated variable approach
Two-equation turbulence modelling

Implementation of additional types of boundary conditions
Implementation of second-order interpolation for convection terms
Coding for unsteady flows
Mesh clustering
Energy equation
Collocated variable approach
Two-equation turbulence modelling

Syllabus

Introduction

Index Notation

Solver

BASE_CODE.f90 is the base level code all others are derived from.

BASE_CODE_OMP.f90 is a very simple implementation of OpenMP into the pressure solver.
The pressure correction solver loop is changed from SOR to Jacobi to accommodate the parallel operations.
Need fine meshes to see significant speedup.

Driven Cavity Results

Get Your Base Code Working

Jet In Crossflow

Some questions regarding the base-level code.

Different Boundary Conditions

Periodic Boundary Conditions

Periodic Boundary Condition Code

Periodic Boundary Condition Results

Pressure Boundary Conditions

Pressure Boundary Condition Code

Pressure Boundary Condition Results

Symmetry Boundary Conditions

Symmetry Boundary Condition Code

Symmetry Boundary Condition Results

Higher Order Interpolation of Convection Terms

Blended 1st Order Upwind and Second Order Central Interpolation

Modifications to Base Code

Understand how to add time dependence to their CFD code.

Added Unsteady Terms

Addition of Terms to Base Code

Shedding From a Square Cylinder in a Channel

Mesh Clustering

Background Information

Implementation into Base Code

Channel Flow Results Using Mesh Clustering

Energy Equation

Discretization of Energy Equation

Addition to Base Code

Driven Cavity Results with Heat Transfer

Buoyancy Using the Boussinesq Approximation

Adding Boussinesq Approximation to the Code

Boussinesq Approximation Results

Develop additional flow solutions using their code.

Pressure Driven Flow

Buoyancy Driven Flow via Heat Source

Parallel Jets

Miscellaneous Topics

Red-Black Iteration Scheme for Loop-Level Parallelization

Download the Poisson solver and experiment with speedups as a function of number of threads and number of unknowns (i.e., mesh size).

Formulate the finite volume method using collocated variables rather than variables on a staggered mesh.

We will formulate the problem using collocated variables on a Cartesian mesh.

A look into the collocated variable finite volume code set up for the driven cavity problem. The code may be downloaded (next lecture).

Running the code for the driven cavity problem and observing the mass imbalance dropping to machine zero.
Code is included in "downloadable materials." A version for a channel flow is also downloadable.

Using ParaView to plot velocity vectors for driven cavity flow. Data file (.csv) as formatted in the downloadable collocated grid CFD code used to solve the driven cavity problem.

Understand the basics of turbulence modelling, implement a k-epsilon model in their own code, and use a turbulence model in a commercial CFD code.

A brief review of the momentum equations and a description of some necessary statistical quantities.

A complete copy of the Section notes may be downloaded from this lecture.

Reynolds-Averaging Process

Boussinesq Approximation

Two-Equation k-epsilon Model

Viscous Sublayer and Log-Law Layer

Wall Function Approach

Implementation into CFD Code

We briefly go over the code set up for channel flow. This code may be downloaded.

Running the Code

Channel Flow Results

Applicability of k-epsilon model

Commercial CFD Solvers

Activities

Be better prepared before your course. Deepen your understanding during and after it. Supplement your coursework and achieve mastery of the topics covered in Computational Fluid Dynamics 2 with these activities:

Review Fundamentals of Fluid Mechanics

Show steps

Reinforce your understanding of fundamental fluid mechanics concepts, including viscosity, pressure, and boundary layers, to better grasp the advanced topics covered in this course.

Browse courses on Navier-Stokes Equations

Show steps

Review your notes from introductory fluid mechanics courses.
Work through practice problems related to fluid properties and flow regimes.
Focus on topics like the Navier-Stokes equations and boundary layer theory.

Read 'Numerical Computation of Internal and External Flows'

Show steps

Deepen your understanding of numerical methods used in CFD by studying a comprehensive textbook.

View Numerical Computation of Internal and External... on Amazon

Show steps

Obtain a copy of 'Numerical Computation of Internal and External Flows'.
Read the chapters related to finite volume and finite difference methods.
Pay close attention to the sections on boundary condition implementation.

Implement a New Boundary Condition

Show steps

Solidify your understanding of boundary conditions by implementing a new type of boundary condition (e.g., a wall with specified heat flux) in the provided Fortran90 code.

Show steps

Choose a boundary condition not already implemented in the base code.
Modify the Fortran90 code to incorporate the new boundary condition.
Test the implementation with a relevant flow problem.
Document your implementation and results.

Four other activities

Expand to see all activities and additional details

Show all seven activities

Experiment with OpenMP Parallelization

Show steps

Gain hands-on experience with parallel computing by experimenting with the OpenMP implementation in the provided code.

Show steps

Download the BASE_CODE_OMP.f90 code.
Run the code with different numbers of threads.
Analyze the speedup as a function of thread count and mesh size.
Document your findings.

Create a Visualization of a Flow Solution

Show steps

Enhance your understanding of flow physics by creating a visualization of a flow solution obtained from the CFD code using ParaView or a similar tool.

Show steps

Run the CFD code for a specific flow problem.
Export the solution data in a format compatible with ParaView.
Create a visualization of the velocity field, pressure distribution, or other relevant quantities.
Write a short description of the flow physics illustrated by the visualization.

Study 'Turbulent Flows' by Pope

Show steps

Expand your knowledge of turbulence modeling by studying a comprehensive textbook on turbulent flows.

View Turbulent Flows on Amazon

Show steps

Obtain a copy of 'Turbulent Flows' by Pope.
Focus on the chapters related to Reynolds-averaged Navier-Stokes (RANS) equations and turbulence models.
Pay attention to the discussion of the k-epsilon model and its limitations.

Contribute to an Open-Source CFD Project

Show steps

Apply your knowledge and skills by contributing to an open-source CFD project, such as OpenFOAM or SU2.

Show steps

Identify an open-source CFD project that aligns with your interests.
Familiarize yourself with the project's codebase and contribution guidelines.
Identify a bug to fix or a feature to implement.
Submit a pull request with your changes.

Career center

Learners who complete Computational Fluid Dynamics 2 will develop knowledge and skills that may be useful to these careers:

Computational Fluid Dynamics Engineer

The role of a Computational Fluid Dynamics Engineer involves using software to simulate the behavior of fluids. This course, with its focus on extending a two-dimensional, incompressible Navier-Stokes solver, directly aligns with the core responsibilities of a Computational Fluid Dynamics Engineer. The course delves into enhancements like unsteady flow capabilities, second-order and blended interpolations, and different boundary conditions. These are all crucial elements in developing and utilizing CFD models for various engineering applications. The emphasis on coding in Fortran90 and the ability to modify existing codes to solve complex problems are particularly valuable for a Computational Fluid Dynamics Engineer. Furthermore, the sections on turbulence modeling and the collocated variable approach within the finite volume method are of great benefit.

See salaries and explore the career path for Computational Fluid Dynamics Engineer

CFD Software Developer

A CFD Software Developer designs, develops, and maintains computational fluid dynamics software. This course is particularly valuable as it provides hands-on experience with extending and modifying a Fortran90-based Navier-Stokes solver. The focus on implementing advanced numerical methods, boundary conditions, and physical models, such as turbulence modeling and the energy equation, directly translates to the skills required for developing robust and accurate CFD software. The inclusion of parallelization techniques using OpenMP is also highly relevant for modern CFD software development. The hands-on practice with the collocated variable approach will be particularly beneficial for any CFD Software Developer.

See salaries and explore the career path for CFD Software Developer

Simulation Engineer

Simulation Engineers create and run computer models to simulate physical phenomena. This course helps build practical skills in fluid dynamics simulation by extending a basic solver with important features like unsteady flow capabilities, higher-order interpolation schemes, and custom boundary conditions. The course enables the simulation engineer to handle more complex and realistic fluid flow scenarios. Topics such as mesh clustering, the energy equation, and turbulence modelling are critical for enhancing the accuracy and reliability of simulations. The experience gained modifying and extending Fortran90 codes is highly beneficial.

See salaries and explore the career path for Simulation Engineer

Research Scientist

A Research Scientist in fluid mechanics or a related field uses computational tools to investigate fluid behavior and develop new models. This course is especially suitable for any research scientist because it focuses on extending the capabilities of a fluid dynamics solver. The course enables the research scientist to implement advanced numerical methods, such as second-order interpolation and blended interpolations, and to handle complex boundary conditions. The inclusion of topics like the energy equation and turbulence modeling, as well as parallelization using OpenMP, makes the course particularly relevant for conducting advanced research in fluid dynamics. The knowledge of the red-black iteration scheme also helps with loop-level parallelization.

See salaries and explore the career path for Research Scientist

Thermal Engineer

Thermal Engineers focus on heat transfer and thermodynamics in various engineering systems. This course will be useful to thermal engineers through its coverage of the energy equation and its application to fluid flow simulations. The course helps thermal engineers refine simulations of heat exchangers, cooling systems, and thermal management in electronic devices. The inclusion of buoyancy using the Boussinesq approximation helps build skills in modeling natural convection. The section on turbulence modeling is also relevant for simulating turbulent heat transfer.

See salaries and explore the career path for Thermal Engineer

Mechanical Engineer

Mechanical Engineers often use computational fluid dynamics to analyze and optimize the performance of mechanical systems. This course is exceptionally useful because it builds upon introductory concepts and delves into advanced topics like unsteady flow, higher-order interpolation, and mesh clustering. It also provides hands-on experience with implementing different boundary conditions and the energy equation. The skills learned are transferable to a wide array of mechanical engineering applications, such as heat exchanger design, fluid machinery analysis, and internal combustion engine simulation. The two-equation k-epsilon turbulence modeling further enhances the practical value for mechanical engineering projects.

See salaries and explore the career path for Mechanical Engineer

Aerospace Engineer

As an Aerospace Engineer, you might use computational fluid dynamics to analyze airflow around aircraft and spacecraft. This course helps build a foundation in CFD by extending a Navier-Stokes solver to include features necessary for aerospace simulations. The coverage of unsteady flows, higher-order interpolation methods, and boundary conditions are directly applicable to modeling aerodynamic phenomena. By working through the course, an aerospace engineer can refine simulations related to aircraft design, engine efficiency, and space vehicle performance. The inclusion of turbulence modelling and the energy equation are relevant for high-speed aerodynamics and thermal analysis, making this course valuable.

See salaries and explore the career path for Aerospace Engineer

Automotive Engineer

Automotive Engineers use computational fluid dynamics for aerodynamic analysis, engine cooling simulation, and thermal management of vehicle components. This course enables automotive engineers to refine their skills in these areas by teaching them to implement unsteady flow simulations, employ higher-order interpolation schemes, and model complex boundary conditions. The inclusion of the energy equation and turbulence modeling is highly relevant for simulating heat transfer and turbulent flows within and around vehicles. The hands-on experience with Fortran90 coding is valuable for customizing simulation tools.

See salaries and explore the career path for Automotive Engineer

Hydraulic Engineer

Hydraulic Engineers design and analyze systems that involve the flow of water and other fluids, such as pipelines, dams, and irrigation systems. This course is most useful because it extends the capabilities of a Navier-Stokes solver to include features relevant to hydraulic engineering, such as unsteady flow, higher-order interpolation, and various boundary conditions. The knowledge of mesh clustering enables hydraulic engineers to optimize the computational grid for accurate simulations of complex geometries. The section on turbulence modeling is also helpful for simulating turbulent flows in hydraulic systems.

See salaries and explore the career path for Hydraulic Engineer

Naval Architect

Naval Architects design and oversee the construction and repair of ships and other marine vessels. This course is useful due to its focus on extending a two-dimensional, incompressible Navier-Stokes solver, which is directly applicable to simulating fluid flow around ship hulls. By learning to implement unsteady flow capabilities, higher-order interpolation schemes, and different boundary conditions, the naval architect refines simulations of hydrodynamic performance, wave resistance, and propeller design. The course helps the naval architect perform increasingly accurate analyses.

See salaries and explore the career path for Naval Architect

Environmental Engineer

Environmental Engineers use computational fluid dynamics to model air and water flow for pollution control and environmental impact assessments. This course helps environmental engineers refine their skills in these areas by including unsteady flow simulations. The inclusion of the energy equation and turbulence modeling can be relevant for simulating pollutant dispersion and transport in complex environments. The experience gained by modifying Fortran90 codes enables environmental engineers to customize simulation tools for specific applications. The different types of boundary conditions will be useful for developing simulations with different fluid properties.

See salaries and explore the career path for Environmental Engineer

Civil Engineer

Civil Engineers design and oversee the construction of infrastructure, including water distribution systems, wastewater treatment plants, and flood control structures. This course enables civil engineers to model and analyze fluid flow in these systems with more precision. The different boundary conditions help with simulating hydraulic structures and open channel flow. The parallelization using OpenMP is valuable for large-scale simulations. While not always required, a strong understanding of fluid dynamics helps civil engineers design more efficient and reliable infrastructure.

See salaries and explore the career path for Civil Engineer

Product Development Engineer

Product Development Engineers are involved in the design and development of new products, often utilizing simulation tools to optimize performance and functionality. This course may be useful for product development engineers working on fluid-related products, such as pumps, valves, or fluid handling systems. The course enables product development engineers to refine simulations of fluid flow behavior and optimize product designs for improved performance and efficiency. While CFD may be just one part of the role, understanding how to modify existing code enables engineers to customize simulation tools for specific applications.

See salaries and explore the career path for Product Development Engineer

Process Engineer

Process Engineers design, develop, and optimize processes involving chemical or physical transformations of matter. This course may be helpful for process engineers involved in designing and optimizing fluid flow processes, such as mixing, separation, and heat transfer. The course enables process engineers to model complex fluid flow phenomena in process equipment. Although this course is unlikely to be a core requirement, understanding the principles of computational fluid dynamics can provide a deeper understanding of process behavior.

See salaries and explore the career path for Process Engineer

Data Scientist

Data Scientists analyze complex data sets to extract meaningful insights and build predictive models. While seemingly distinct, this course may be helpful for data scientists working with fluid dynamics data. The course enables data scientists to understand the underlying principles of fluid flow simulations and how different numerical methods affect the results. This knowledge can be valuable when dealing with large datasets generated from CFD simulations. The elements of parallelization and high performance computing in the course may be helpful.

See salaries and explore the career path for Data Scientist

Computational Fluid Dynamics 2

Here's a deal for you

What's inside

Learning objectives

Syllabus

Save this course

Activities

Career center

Reading list

Share

Similar courses