Unstructured Meshes and Mesh Quality
What you'll learn
- How to setup and structure a working CFD solution code from first principles (using Excel, MATLAB or Python)
- How CFD equations are discretised differently for unstructured meshes
- How the main mesh quality metrics (aspect ratio, non-orthogonality, skewness, determinant) are calculated
- The solution of the 2D heat equation from first principles on an unstructured mesh
- How to calculate the cell volume, face areas and unit normal vectors for skewed and irregular cells
Requirements
- Basic vector calculus (dot product, gradient, cross product)
- Basic differential equations
- Basic linear algebra (matrices)
- Microsoft Excel or Python
Description
Welcome to Part 3 of my Computational Fluid Dynamics (CFD) fundamentals course! In this course, the concepts, derivations and examples from Part 1 and Part 2 are extended to look at unstructured meshes and mesh quality metrics (aspect ratio, non-orthogonality, skewness and Jacobian Determinant). The course starts from first principles and you will rapidly develop a working CFD solution using the Excel sheets and Python source code provided. By the end of the course, you will understand how the CFD equations are discretised for unstructured meshes. This discretisation approach is a natural extension of the discretisation approach that is adopted for structured meshes (which were considered in Part 1 and Part 2). CFD codes which are constructed in this unstructured way (such as ANSYS Fluent, OpenFOAM, Star CCM, Saturne) can handle cells of any size and shape. You will learn about the main quality metrics (aspect ratio, non-orthogonality, skewness, Jacobian Determinant) that are used to assess these meshes, how they are calculated and what they actually mean. For this course, no prior experience is required and no specific CFD code/coding experience is required! You do not need ANSYS Fluent, OpenFOAM, Star CCM or any other CFD code to use this course.Who this course is for:
- High School/Secondary School Physics Students
- Undergraduate Engineers, Physicists and Scientists
- Masters and PhD level Students
