By Giuseppe Buttazzo, Aldo Frediani (auth.)
This complaints quantity includes papers offered on the Variational research and Aerospace Engineering convention held in Erice, Italy in September 2007 on the overseas university of arithmetic, Guido Stampacchia.
The workshop supplied a platform for aerospace engineers and mathematicians (from universities, study facilities and undefined) to debate the complicated difficulties requiring an in depth software of arithmetic. very important mathematical tools were built and commonly utilized within the box of aerospace engineering. themes and contributions on the workshop targeting the main complex mathematical tools in engineering resembling computational fluid dynamics equipment, the creation of recent fabrics, conception of optimization, optimization tools utilized in aerodynamics, conception of constructions, area missions, flight mechanics, theories of keep watch over, algebraic geometry for CAD purposes, and variational tools and applications.
Advanced graduate scholars, researchers, and execs in arithmetic and engineering will locate this quantity useful.
This paintings is devoted to Professor Angelo Miele, an eminent mathematician and engineer, at the get together of his eighty fifth birthday.
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Extra info for Variational analysis and aerospace engineering
Asuncion airlines. Thus, there has been, and continues to be, great interest in optimizing the cruising flight of transport aircraft. ” This is based on steady flight (constant speed and altitude), leaving only the range and mass as dynamic variables. 2) B= gC where λ is the lift-to-drag ratio, V the cruise speed, g the gravitational acceleration, and C the thrust-specific fuel consumption. Thus, to optimize the flight path (in the sense of either maximizing range for a given mass ratio or maximizing the mass ratio for a given range), a search is conducted to find the point in the flight envelope (the portion of the (h,V) plane that does not violate any constraints) that maximizes B.
One advantage of these methods is that finite element theory provides a powerful framework for analyzing 1 Issues and Challenges Associated with Robust CFD Codes 9 accuracy and stability. , streamwise upwind Petrov–Galerkin (SUPG) and discontinuous Galerkin (DG) methods. When using polynomial basis functions, these schemes are usually denoted as SUPG(k) and DG(k), where k refers to the degree of the polynomial basis. These schemes achieve O(hk+1 ) accuracy for smooth flows. SUPG falls under the category of continuous finite element methods in that the basis functions are continuous across element boundaries.
This is a problem with two states, V and m, and one control, Π . This cost functional is a weighted sum of minimum time and maximum range, with E being the weighting function. It has been found that this cost functional is closely related to direct operating cost. Special cases are maximum range (E = 0) and maximum endurance (E = −8). This is very similar to the problem first considered by Miele  and later appearing in Leitmann . The differences are that instead of a rocket engine with constant exhaust exit velocity, we include air breathing engines with speed-dependent maximum thrust, TM , and specific fuel consumption, C, and consider a more general cost functional.