Tag: Minimisation

Free Download Management and Minimisation of Uncertainties and Errors in Numerical Aerodynamics: Results of the German collaborative project MUNA By E. Mazlum, R. Radespiel (auth.), Bernhard Eisfeld, Holger Barnewitz, Willy Fritz, Frank Thiele (eds.)
2013 | 338 Pages | ISBN: 3642361846 | PDF | 45 MB
This volume reports results from the German research initiative MUNA (Management and Minimization of Errors and Uncertainties in Numerical Aerodynamics), which combined development activities of the German Aerospace Center (DLR), German universities and German aircraft industry. The main objective of this five year project was the development of methods and procedures aiming at reducing various types of uncertainties that are typical of numerical flow simulations. The activities were focused on methods for grid manipulation, techniques for increasing the simulation accuracy, sensors for turbulence modelling, methods for handling uncertainties of the geometry and grid deformation as well as stochastic methods for quantifying aleatoric uncertainties.

Free Download Computing and Analysing Energy Minimisation Problems in Liquid Crystals : Implementation Using Firedrake (242 Pages)
by Jingmin Xia
English | 2023 | ISBN: 9811273383 | 243 pages | True PDF | 39.43 MB
How does one numerically analyse different phases of liquid crystals? With the help of some open-source libraries, what can we do in exploiting the mathematical models of liquid crystals and numerical aspects of their typical defects? There are many excellent books on liquid crystals, but none on their numerics to the knowledge of the author. This book presents some of the latest work on numerical investigations of liquid crystals, addressing some mathematical modelling and numerical problems. This book consists of three major parts, each of which focuses on different problems for different phases of liquid crystals: nematics and cholesterics, ferronematics and smectics. The associated topics include robust solvers for cholesterics, multiple solutions for ferronematics, and mathematical modelling theory for smectics, etc. This interdisciplinary book can be helpful in utilising the open-source libraries Firedrake (for solving problems using finite element methods) and Defcon (for computing multiple solutions) to solve general energy minimisation problems.