“…The right-hand side is minimized at = a n -[F(a n )r l g n (2) and this equation is the pure form of Newton's method. Once a n+ i is calculated, the gradient and the Hessian are updated at the new point, n + 1, and the process is repeated.…”
Section: Newton's Methodsmentioning
confidence: 99%
“…Recently, computational fluid dynamics (CFD) flow solvers have been implemented on clusters of workstations as a networkbased parallel computer. 1 ' 2 The objective of this article is to explore the possibility of using a numerical optimizer on a network-based parallel computer system to perform aerodynamic design with advanced CFD flow solvers.…”
Combining multiple engineering workstations into a network-based heterogeneous parallel computer allows the application of aerodynamic optimization with advanced computational fluid dynamics codes, which can be computationally expensive on mainframe supercomputers. This article introduces a nonlinear quasi-Newton optimizer designed for this network-based heterogeneous parallel computing environment utilizing a software called Parallel Virtual Machine. This article will introduce the methodology behind coupling a parabolized Navier-Stokes flow solver to the nonlinear optimizer. This parallel optimization package is applied to reduce the wave drag of a body of revolution and a wing/body configuration with results of 5-6% drag reduction.
“…The right-hand side is minimized at = a n -[F(a n )r l g n (2) and this equation is the pure form of Newton's method. Once a n+ i is calculated, the gradient and the Hessian are updated at the new point, n + 1, and the process is repeated.…”
Section: Newton's Methodsmentioning
confidence: 99%
“…Recently, computational fluid dynamics (CFD) flow solvers have been implemented on clusters of workstations as a networkbased parallel computer. 1 ' 2 The objective of this article is to explore the possibility of using a numerical optimizer on a network-based parallel computer system to perform aerodynamic design with advanced CFD flow solvers.…”
Combining multiple engineering workstations into a network-based heterogeneous parallel computer allows the application of aerodynamic optimization with advanced computational fluid dynamics codes, which can be computationally expensive on mainframe supercomputers. This article introduces a nonlinear quasi-Newton optimizer designed for this network-based heterogeneous parallel computing environment utilizing a software called Parallel Virtual Machine. This article will introduce the methodology behind coupling a parabolized Navier-Stokes flow solver to the nonlinear optimizer. This parallel optimization package is applied to reduce the wave drag of a body of revolution and a wing/body configuration with results of 5-6% drag reduction.
“…Thus near a n , f can be approximated by the truncated Taylor series where ∇f and F are the gradient and the Hessian matrix of f, respectively. The right-hand side is minimized at (2) and this equation is the pure form of Newton's method. Once a n+1 is calculated, the gradient and the Hessian are updated at the new point, n+1, and the process is repeated.…”
Section: Newton's Methodsmentioning
confidence: 99%
“…Recently, computational fluid dynamics (CFD) flow solvers have been implemented on clusters of workstations as a network-based parallel computer. 1,2 The objective of this paper is to explore the possibility of using a numerical optimizer on a network-based parallel computer system to perform aerodynamic design with advanced CFD flow solvers.…”
Combining multiple engineering workstations into a network-based heterogeneous parallel computer allows application of aerodynamic optimization with advanced computational fluid dynamics codes, which can be computationally expensive on mainframe supercomputers. This paper introduces a nonlinear quasi-Newton optimizer designed for this network-based heterogeneous parallel computing environment utilizing a software called Parallel Virtual Machine. This paper will introduce the methodology behind coupling a Parabolized Navier-Stokes flow solver to the nonlinear optimizer. This parallel optimization package is applied to reduce the wave drag of a body of revolution and a wing/body configuration with results of 5% to 6% drag reduction.
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