Publication

High Performance Computing of flows around hydrofoils

2015
Student Projects

Abstract

Hydrocontest is a student competition involving teams from different universities around Switzerland and the world. This projects aims at providing an analysis of the performances of hydrofoils by means of computational fluid dynamics in a High Performance Computing context. The numerical scheme is based on the Finite Elements method for the spatial approximation of the Navier-Stokes equations, while on Backward Differentiation Formulas for the time discretization. The numerical implementation is performed in the parallel Finite Elements library LifeV.

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2015
Student Projects

Abstract

Official source

Related concepts (31)

Numerical analysis

Numerical analysis is the study of algorithms that use numerical approximation (as opposed to symbolic manipulations) for the problems of mathematical analysis (as distinguished from discrete mathematics). It is the study of numerical methods that attempt at finding approximate solutions of problems rather than the exact ones. Numerical analysis finds application in all fields of engineering and the physical sciences, and in the 21st century also the life and social sciences, medicine, business and even the arts.

Numerical differentiation

In numerical analysis, numerical differentiation algorithms estimate the derivative of a mathematical function or function subroutine using values of the function and perhaps other knowledge about the function. The simplest method is to use finite difference approximations. A simple two-point estimation is to compute the slope of a nearby secant line through the points (x, f(x)) and (x + h, f(x + h)). Choosing a small number h, h represents a small change in x, and it can be either positive or negative.

Numerical methods for ordinary differential equations

Numerical methods for ordinary differential equations are methods used to find numerical approximations to the solutions of ordinary differential equations (ODEs). Their use is also known as "numerical integration", although this term can also refer to the computation of integrals. Many differential equations cannot be solved exactly. For practical purposes, however – such as in engineering – a numeric approximation to the solution is often sufficient. The algorithms studied here can be used to compute such an approximation.

Related publications (32)

High Performance Computing of flows around hydrofoils

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