Navier-Stokes

Navier-Stokes and Euler Equations, and Certain Geophysical Models - Course Lecture 3

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Location shared with registered participants

This course will cover two main topics: the Navier-Stokes and Euler equations, and the global regularity of certain geophysical flows.

Navier-Stokes and Euler Equations, and Certain Geophysical Models - Course Lecture 2

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Location shared with registered participants

This course will cover two main topics: the Navier-Stokes and Euler equations, and the global regularity of certain geophysical flows.

Navier-Stokes and Euler Equations, and Certain Geophysical Models - Course Lecture 1

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Location shared with registered participants

This course will cover two main topics: the Navier-Stokes and Euler equations, and the global regularity of certain geophysical flows.

Navier-Stokes and Euler Equations, and Certain Geophysical Models - Course Lecture 4

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Location shared with registered participants

This course will cover two main topics: the Navier-Stokes and Euler equations, and the global regularity of certain geophysical flows.

On supercomputers and engineering applications: DNS, modeling, and GPUs

Mathis Bode, Researcher, Institute for Combustion Technology (ITV) at RWTH Aachen University

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B2 L5 R5209

The numerical solution of multi-physics problems relying on the Navier-Stokes equations has kept multiple generations of supercomputers busy. For fundamental problems, computational fluid dynamic aims to resolve all relevant time and length scales, which is then known as direct numerical simulation (DNS).

A Variational Theory of Aero-hydrodynamics

Haithem Taha, Associate Professor

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B5 L5 R5209

The Euler equation does not possess a unique solution for the flow over a two-dimensional object. This problem has serious repercussions in aerodynamics; it implies that the inviscid aero-hydrodynamic lift force over a two-dimensional object cannot be determined from first principles; a closure condition must be provided. The Kutta condition has been ubiquitously considered for such closure in the literature, even in cases where it is not applicable (e.g. unsteady).