PhD-Track Learning: Fluid Mechanics & Numerical Simulation
“An 8-week intensive roadmap for a Masters graduate to master the theoretical and computational foundations of fluid mechanics, preparing for PhD-level research. The curriculum progresses from advanced continuum mechanics to implementing and analyzing complex CFD simulations.”
Module 1: Advanced Mathematical & Physical Foundations
By the end of this module you will be able to derive and analyze the governing equations of fluid motion using tensor calculus and scaling analysis.
Topics
Module 2: Discretization & Numerical Solvers for PDEs
By the end of this module you will be able to implement a finite difference solver for a model PDE and analyze its stability and accuracy.
Module 3: Incompressible Flow Simulation
By the end of this module you will be able to implement a basic incompressible Navier-Stokes solver using a pressure-projection method.
Module 4: Compressible Flow & Shock Capturing
By the end of this module you will be able to implement a numerical scheme capable of capturing shock waves in 1D compressible flows.
Module 5: Mesh Generation & Open-Source CFD
By the end of this module you will be able to generate a high-quality mesh for a complex geometry and set up a basic simulation case using OpenFOAM.
Module 6: Turbulence Modeling
By the end of this module you will be able to select, implement, and critically evaluate an appropriate RANS model for a turbulent flow problem.
Module 7: High-Performance Computing (HPC) for CFD
By the end of this module you will be able to decompose a CFD problem for parallel execution and analyze its scaling performance.
Module 8: Research Proposal & Literature Review
By the end of this module you will be able to formulate a viable PhD-level research question and outline a numerical methodology to address it.
References
Week 1: Module 1: Advanced Mathematical & Physical Foundations
Week 2: Module 2: Discretization & Numerical Solvers for PDEs
Week 3: Module 3: Incompressible Flow Simulation
PhD-Track Learning Roadmap: Fluid Mechanics & Numerical ...
eulerfold.comLecture Notes Numerical Methods for Incompressible FlowIncompressible Fluid Flow Analysis | Analysis Types | SimScaleCfd Roadmap Skilllync | PDF | Computational Fluid Dynamics ...Numerical Methods for Incompressible Fluid Dynamics [M12] (E ...Lecture Notes and References | Numerical Fluid Mechanics ...Computational Fluid Dynamics: Incompressible Turbulent Flows ...
ww3.math.ucla.eduIncompressible Fluid Flow Analysis | Analysis Types | SimScale
simscale.comWeek 4: Module 4: Compressible Flow & Shock Capturing
Week 5: Module 5: Mesh Generation & Open-Source CFD
Week 6: Module 6: Turbulence Modeling
Week 7: Module 7: High-Performance Computing (HPC) for CFD
Week 8: Module 8: Research Proposal & Literature Review
PhD-Track Learning Roadmap: Fluid Mechanics & Numerical ...
eulerfold.comHow to Write a Research Proposal | Examples & Templates - ScribbrNon-Newtonian Nanofluid Flow Modeling | PDF ... - ScribdPhD Research Proposal GuidanceThesis Proposal : Mechanical Engineering Communication LabPhD Research Proposal Template With Examples - The ProfsNUMERICAL METHODS IN FLUID MECHANICS – AN OVERVI - ResearchGate
scribbr.comNon-Newtonian Nanofluid Flow Modeling | PDF ... - Scribd
scribd.comCommunity Insights
0Join the discussion
Sign in to share your thoughts and technical insights.
Loading insights...