CAE336 Grid Generation Techniques Syllabus:
CAE336 Grid Generation Techniques Syllabus – Anna University Regulation 2021
COURSE OBJECTIVES
• To make students understand the need for grid generation for numerical solutions
• To give them exposure to both structured and unstructured grid generation methods
• To impart knowledge on the areas of application and on the implementation methods for structured and unstructured grid generation techniques
• To expose the students on the benefits of adaptive meshing and its methodology
• To impart training to students on the control of grid quality
UNIT-I BASIC ASPECTS IN GRID GENERATION
Methodology of grid generation- classification of grid generation techniques – Structured, Unstructured and Hybrid grids and their characteristic features – Areas of application –Geometry related issues for grid generation – Grid or mesh topology – Conformal Mapping-Domain decomposition with multiblocking
UNIT-II STRUCTURED GRID GENERATION
Algebraic methods for structured grid generation – Use of blending functions for grid generation Use of partial differential equations for structured grid generation – Elliptic schemes for structured grid generation – Implementation of boundary conditions for smooth grid generation – Variational methods – Applications – A brief introduction to hyperbolic schemes for grid generation
UNIT-III UNSTRUCTURED GRID GENERATION
Use of triangular, quadrilateral and tetrahedral grids/meshes – Concept of dual mesh – Connectivity Information and data structure in unstructured grid generation – Hierarchy in unstructured grid Generation – Composite grid schemes in unstructured grid generation – Moving front technique- Delaunay base method – Octree approach
UNIT-IV ADAPTIVE MESHING
Description of adaptive mesh refinement – Adaption control – Strategies for mesh adaption Solution gradient based adaption – Discretization error and Recovery based adaption – r adaption, h adaption and p adaption methods – Elementary concepts in dynamic meshing and mesh motion – Role of adaptive meshing in solution accuracy and convergence
UNIT-V GRID QUALITY AND QUALITY CONTROL
A brief description of metrics for grid quality – Aspect ratio – Orthogonality – Skewness – WarpageJacobian- Best practices for grid quality and grid control – mesh/grid quality aspects in surface meshing – Volume meshing and quality check – Grid quality aspects in boundary layer flows – Prismatic layers – Quality control in hybrid mesh transition – guideline for checking mesh quality and control
TOTAL: 45 PERIODS
COURSE OUTCOMES
CO1: Will be able to acquire knowledge on the basic principles of grid generation and be able to apply preliminary grid selection tasks in aerospace applications
CO2: Will be able to understand the multi-block grid generation procedures and be able to evaluate multi-block grid designs of computational domain in aerospace related problems
CO3: Will be able to evaluate structured and unstructured grid designs and be able to take decisions on selection of suitable grid blocks for the computational domains in aerospace applications.
CO4: Will be able to apply adaptive meshing methods for better management of computer resources and cost effective solutions in aerospace engineering
CO5: Will be able to apply skills in ensuring the good quality of grid that is essential to get reasonably accurate numerical solutions for complex aerospace engineering problems
REFERENCES:
1. Fletcher C.A.J. , “Computational Techniques for Fluid Dynamics 1” Springer Verlag, 1996.
2. Liseikin V. D., “Grid Generation Methods:, Springer-Verlag Berlin and Heidelberg GmbH & Co. KG 1st edition 1999
3. Chung T. J., “Computational Fluid Dynamics”, Cambridge University Press; 2nd edition, 2010.
4. Patrick Knupp & Stanly Steinberg, “Fundamentals of Grid Generation” CRC Press 1st edition 1993
5. Versteeg H.K. and Malalsekera W. “An Introduction to Computational Fluid Dynamics, The Finite Volume Method”, PHI; 2nd edition 2007.
6. John F Wendt , “Computational Fluid Dynamics – An Introduction”, 3rd Edition, SpringerVerlag, Berlin Heidelberg, 2009.