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pro vyhledávání: '"Gregory R. Shubin"'
Autor:
Gregory R. Shubin
Publikováno v:
Journal of Computational Physics. 118:73-85
A new model problem for static aeroelasticity is introduced and used to illustrate several alternative approaches for formulating multidisciplinary design optimization problems. The alternatives are distinguished by the kind of analysis problem feasi
Publikováno v:
SIAM Journal on Optimization. 4:754-776
This paper is about multidisciplinary (design) optimization, or MDO, the coupling of two or more analysis disciplines with numerical optimization.The paper has three goals. First, it is an expository introduction to MDO aimed at those who do research
Autor:
Gregory R. Shubin, Paul D. Frank
Publikováno v:
Journal of Computational Physics. 98:74-89
The objective of this paper is to compare three optimization-based methods for solving aerodynamic design problems. We use the Euler equations for one-dimensional duct flow as a model problem. The optimization methods are (i) the black-box method wit
Autor:
Gregory R. Shubin
Publikováno v:
Proceedings of the Conference Inverse Problems and Optimal Design in Industry ISBN: 9783322966599
In industry today, the design process relies heavily on engineers-in-the-loop, making it is difficult to handle a sufficient number of design variables to optimize a complex product. Additionally, engineering disciplines are usually worked sequential
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::3f5d103773289b54c891b3c33154578e
https://doi.org/10.1007/978-3-322-96658-2_11
https://doi.org/10.1007/978-3-322-96658-2_11
Autor:
Sin-i Cheng, Gregory R. Shubin
Publikováno v:
Journal of Computational Physics. 32:39-55
The study of the behavior of computational solutions of Burgers' equation at large mesh Reynolds numbers ReΔx is extended to a one-dimensional steady-state model gasdynamic system with downstream extrapolation conditions. The oscillations generally
Publikováno v:
SIAM Journal on Applied Mathematics. 46:1000-1017
In this paper we examine the mathematical structure of a model for three-phase, incompressible flow in a porous medium. We show that, in the absence of diffusive forces, the system of conservation laws describing the flow is not necessarily hyperboli
Publikováno v:
Journal of Computational Physics. 74:1-24
In this paper we develop an unsplit, higher order Godunov method for scalar conservation laws in two dimensions. The method represents an extension, for the special case being considered, of methods developed by Colella and by Van Leer. In our method
Autor:
Gregory R. Shubin
Publikováno v:
Computers & Fluids. 9:299-312
Explosion dynamics problems involve the propagation and interaction of shocks and contact discontinuities, usually in several space dimensions. Since standard finite difference methods which smear these discontinuities do not give sufficiently accura
Autor:
Sin-i Cheng, Gregory R. Shubin
Publikováno v:
Journal of Computational Physics. 28:315-326
The steady-state Burgers' equation uux = (I /Re) uxx (0 ⩽ x ⩽ 1) with boundary values u(0) = 0 and u(1) = -1 is employed as a model equation for fluid dynamics. It is shown how different conservative discretizations of the nonlinear term uux gove
Publikováno v:
SIAM Journal on Numerical Analysis. 22:1041-1050
Potempa, in his 1982 Ph.D dissertation, introduced a new numerical method for solving the equations describing multi-component single-phase flow in a porous medium. Potempa’s method has several desirable features including a substantial reduction o