Introduction: Mathematical background

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Elliptic Problems

Covers the concept of elliptic problems and their applications in various scenarios.

Thermal Transport & Steady-state

Explores thermal transport, equilibrium, and heat flux in fluids.

Vector Analysis: Basics and Applications

Explores the importance of vector analysis in physics and engineering, showcasing its application in various laws and relationships.

Internal Forced Convection

Explores internal forced convection, covering correlations, laminar and turbulent flow, and practical exercises using Jupyter Notebooks.

Verification and validation

Covers the verification and validation process in numerical flow simulation, ensuring credibility of simulation outcomes.

Turbulence: Numerical Flow Simulation

Explores turbulence characteristics, simulation methods, and modeling challenges, providing guidelines for choosing and validating turbulence models.

Internal Waves and Homeomorphism of the Circle

Explores internal waves, wave evolution, classical dynamics, and the limiting absorption principle in chess billiards.

Forced Convection Correlations

Explores forced external convection correlations and the procedure for solving convection problems, including the comparison of velocity and thermal boundary layers.

Free Convection Correlations

Covers the fundamentals of free convection and correlations for heat transfer between a solid and a fluid in motion at different temperatures.

Computational Science and Engineering: Master Program Overview

Outlines the Master in Computational Science and Engineering program at EPFL, detailing its structure, projects, and career opportunities for graduates.