Object
Title: Shape optimal design for a fluid-heat coupled system
Contributor:
Subtitle:
Shape Optimization and Scientific Computations
Group publication title:
Abstract:
This paper deals with the shape optimal design problem for a fluid-heat coupled system used in the car industry. For modelling, we assume that the flow is stationary, potential and incompressible, and we consider the thermal transfer by convection, diffusion and radiation with multiple reflexions. The whole model is a non-linear integro-differential system of two partial differential equations and one integral equation. ; These three equations are coupled. We present the mathematical analysis of this model (the existence, uniqueness and regularity of the solution) as well as its numerical analysis. Then we present the shape optimal-design problem: we seek to minimize, with respect to the domain in which the equations are defined, a cost function which depends on the fluid temperature. ; This control problem is solved by a descent algorithm. We prove that, under some physical assumption, the solution of the system is differentiable with respect to the domain. We introduce the adjoint state equation and we give an expression for the differential of the exact cost function.
Publisher:
Zielona Góra: Uniwersytet Zielonogórski
Resource Identifier:
Pages:
Source:
AMCS, volume 6, number 2 (1996) ; click here to follow the link
Language:
Rights:
Biblioteka Uniwersytetu Zielonogórskiego
Object collections:
- Digital Library of Zielona Góra > Repository > Faculties > Faculty of Computer, Electrical and Control Engineering
- Digital Library of Zielona Góra > Repository > Types of work > Articles
- Digital Library of Zielona Góra > Repository > Scientific journals and UZ publishing series > International Journal of Applied Mathematics and Computer Science (AMCS)
- Digital Library of Zielona Góra > Repository > Scientific journals and UZ publishing series > International Journal of Applied Mathematics and Computer Science (AMCS) > International Journal of Applied Mathematics and Computer Science (AMCS) (1996)
Last modified:
Sep 2, 2021
In our library since:
Nov 17, 2020
Number of object content hits:
33
All available object's versions:
https://zbc.uz.zgora.pl/publication/64446
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International Journal of Applied Mathematics and Computer Science (AMCS)
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International Journal of Applied Mathematics and Computer Science (AMCS), volume 26 (2016)
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International Journal of Applied Mathematics and Computer Science (AMCS), volume 25 (2015)
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International Journal of Applied Mathematics and Computer Science (AMCS), volume 24 (2014)
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International Journal of Applied Mathematics and Computer Science (AMCS), volume 23 (2013)
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International Journal of Applied Mathematics and Computer Science (AMCS), volume 22 (2012)
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International Journal of Applied Mathematics and Computer Science (AMCS), volume 21 (2011)
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International Journal of Applied Mathematics and Computer Science (AMCS), volume 20 (2010)
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International Journal of Applied Mathematics and Computer Science (AMCS), volume 19 (2009)
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International Journal of Applied Mathematics and Computer Science (AMCS), volume 18 (2008)
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International Journal of Applied Mathematics and Computer Science (AMCS), volume 17 (2007)
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International Journal of Applied Mathematics and Computer Science (AMCS), volume 16 (2006)
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International Journal of Applied Mathematics and Computer Science (AMCS), volume 15 (2005)
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International Journal of Applied Mathematics and Computer Science (AMCS), volume 13 (2003)
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International Journal of Applied Mathematics and Computer Science (AMCS), volume 12 (2002)
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International Journal of Applied Mathematics and Computer Science (AMCS), volume 11 (2001)
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International Journal of Applied Mathematics and Computer Science (AMCS), volume 10 (2000)
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International Journal of Applied Mathematics and Computer Science (AMCS), volume 9 (1999)
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International Journal of Applied Mathematics and Computer Science (AMCS), volume 8 (1998)
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International Journal of Applied Mathematics and Computer Science (AMCS), volume 7 (1997)
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International Journal of Applied Mathematics and Computer Science (AMCS), volume 6 (1996)
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International Journal of Applied Mathematics and Computer Science (AMCS), volume 6, number 1 (1996)
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International Journal of Applied Mathematics and Computer Science (AMCS), volume 6, number 2 (1996)
- Thickness optimization of a geometrically non-linear arch at a limit point
- Mathematical modelling and numerical simulation of induction heating processes
- Theoretical and numerical estimates of instantaneous Lyapunov exponents of quasi-geostrophic ocean dynamics
- Shape optimal design for a fluid-heat coupled system
- Global optimization using automatic differentiation: Application to quantum chemistry
- Domain optimization problems for parabolic control systems
- Sensitivity analysis of buckling loads of physically non-linear frames using dynamic and static criteria
- A full-stress technique for structural shape optimization
- A simple method for improving the accuracy and convergence of FEM computations
- Handling the chemical part in large air pollution models
- Domain optimization problem for stationary heat equation
- LAPACK for Fortran 90
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International Journal of Applied Mathematics and Computer Science (AMCS), volume 6, number 3 (1996)
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International Journal of Applied Mathematics and Computer Science (AMCS), volume 6, number 4 (1996)
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International Journal of Applied Mathematics and Computer Science (AMCS), volume 6, number 1 (1996)
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International Journal of Applied Mathematics and Computer Science (AMCS), volume 5 (1995)
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International Journal of Applied Mathematics and Computer Science (AMCS), volume 4 (1994)
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International Journal of Applied Mathematics and Computer Science (AMCS), volume 3 (1993)
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International Journal of Applied Mathematics and Computer Science (AMCS), volume 2 (1992)
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International Journal of Applied Mathematics and Computer Science (AMCS),volume 1 (1991)
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International Journal of Applied Mathematics and Computer Science (AMCS), volume 26 (2016)
| Edition name | Date |
|---|---|
| Shape optimal design for a fluid-heat coupled system | Sep 2, 2021 |
