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solution algorithms AND PARAMETER SENSITIVITY ANALYSIS FOR THE SPHCT EQUATION OF STATE

FLUID PHASE EQUILIBRIA 1995年第1-2期113卷 61-77页

作者： SHAVER, RD ROBINSON, RL GASEM, KAM OKLAHOMA STATE UNIV SCH CHEM ENGNSTILLWATEROK 74078

The simplified perturbed hard chain theory (SPHCT) equation of state (EOS) possesses several attractive features. We have been exploring possible modifications to the equation to improve its performance for both equilibrium and volumetric property calculations. (In a companion study, we have outlined our strategies for modifying the SPHCT EOS.) As a precursor to our study of modifications to the SPHCT EOS, we (a) developed a robust solution algorithm for the SPHCT, (b) established a novel approach to solving the critical-point constraint equations, and (c) performed a parameter sensitivity analysis study for the equation, each of which is described in the present work, These results provided valuable guidance to our efforts in modifying the SPHCT EOS, which are presented in a companion article. The robust algorithm developed for solution of the SPHCT EOS employs a solution equation written in terms of the compressibility factor. This algorithm exhibits better behavior near both the liquid and vapor roots than previous solution equations. However, this robust behavior requires increased computation time during parameter regressions. The SPHCT parameter sensitivity analysis shows that the characteristic temperature (T*) and the maximum coordination number (Z(M)) have very strong influences on calculated vapor pressures and phase densities. Further, application of the critical constraints yields more stable parameterization than is obtained by utilizing the SPHCT equation in its original form. Simple correlations are presented for solving the critical point constraints. The correlations (a) significantly reduce computational time and complexity and (b) facilitate application of the critical point constraints without the need to embed complicated numerical routines within existing EOS computer codes.

关键词： THEORY SPHCT EQUATION OF STATE solution algorithms PARAMETER SENSITIVITY ANALYSIS

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solution algorithms FOR NON-LINEAR SINGULARLY PERTURBED OPTIMAL-CONTROL PROBLEMS

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OPTIMAL CONTROL APPLICATIONS & METHODS 1983年第4期4卷 283-302页

作者： ARDEMA, MD NASA AMES RES CTRMOFFETT FIELDCA 94035

AbstractThe applicability and usefulness of several classical and other methods for solving the two‐point boundaryvalue problem which arises in non‐linear singularly perturbed optimal control are assessed. Specific algorithms of the Picard, Newton and averaging types are formally developed for this class of problem. The computational requirements associated with each algorithm are analysed and compared with the computational requirement of the method of matched asymptotic expansions. Approximate solutions to a linear and a non‐linear problem are obtained by each method and com

关键词： Singular perturbations Non‐linear optimal control solution algorithms

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CFD project combining solution algorithms, software development/validation, and viscous flow calculations

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COMPUTER APPLICATIONS IN ENGINEERING EDUCATION 1997年第3期5卷 161-168页

作者： Briley, WR Hodge, BK MISSISSIPPI STATE UNIV NSF ENGN RES CTR COMPUTAT FIELD SIMULAT MISSISSIPPI STATE MS 39762 USA MISSISSIPPI STATE UNIV DEPT MECH ENGN MISSISSIPPI STATE MS 39762 USA

This project integrates lecture material on computational methodology for viscous flows with hands-on exposure to code development, validation, and case running, all in a context suitable for varying programming skills. Students are given a well-documented, partially completed code for solving the boundary-layer equations. They recreate the missing parts in accordance with material covered in lectures and then compute laminar and turbulent flows. Examples of results are given. (C) 1997 John Wiley & Sons, Inc.

关键词： fluid dynamics viscous flow computational methodology solution algorithms software development/validation boundary-layer equations

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CFD project combining solution algorithms, software development/validation, and viscous flow calculations

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Computer Applications in Engineering Education 1998年第3期5卷

作者： W. R. Briley B. K. Hodge Department of Mechanical Engineering and NSF Engineering Research Center for Computational Field Simulation Mississippi State University Mississippi State Mississippi 39762-5925 Department of Mechanical Engineering Mississippi State University Mississippi State Mississippi 39762-5925

关键词： fluid dynamics viscous flow computational methodology solution algorithms software development/validation boundary-layer equations

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Implicit pseudodynamic algorithm with an event-to-event solution scheme

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ENGINEERING STRUCTURES 2007年第4期29卷 640-648页

作者： Chung, Wonseok Campbell, Scott D. Kinet Noise Control Dublin OH 43017 USA

The use of an event-to-event solution scheme for pseudodynamic testing is investigated in this paper. A standard pseudodynamic solution procedure is extended to include an event-to-event scheme. An adaptive event prediction method is developed using the local equilibrium energy error. The accuracy and efficiency of the standard and modified schemes are examined for a variety of problems. The analysis results show that numerical errors are controlled while decreasing the number of experimental load steps. The event-to-event scheme is shown to be suitable for pseudodynamic testing. (c) 2006 Elsevier Ltd. All rights reserved.

关键词： pseudodynamic testing implicit time stepping algorithm dynamics solution algorithms

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AUTOMATIC solution OF STURM-LIOUVILLE PROBLEMS USING THE PRUESS METHOD

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JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS 1992年第1期39卷 57-78页

作者： MARLETTA, M PRYCE, JD ROYAL MIL COLL SCI CRANFIELD INST TECHNOLSCH DEF MANAGEMENTSWINDON SN6 8LAWILTSENGLAND

We develop algorithms based on coefficient approximation for the automatic solution of regular and singular Sturm-Liouville problems.

关键词： STURM-LIOUVILLE PROBLEM solution algorithms COEFFICIENT APPROXIMATION

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Modeling and solution Methods for Efficient Real-Time Simulation of Multibody Dynamics

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MULTIBODY SYSTEM DYNAMICS 1997年第3期1卷 259-280页

作者： Cuadrado, J. Cardenal, J. Bayo, E. Univ La Coruna Escuela Politecn Super Mendizabal S-N Ferrol 15403 Spain Univ Navarre Sch Engn & Architecture Pamplona 31080 Spain

Current simulation tools for multibody dynamics are not problem dependent, they use the same modeling process to all cases regardless of their characteristics. In addition, real-time simulation of small multibody systems is achievable by existing simulation tools, however, real-time simulation of large and complex systems is not possible with existing methods. This is a challenge that needs to be addressed before further advances in mechanical simulation with hardware-in-the-loop and man-in-the-loop, as well as virtual prototyping are made possible. This paper addresses the issue of how the modeling process - dependent versus independent co-ordinates, and descriptor form versus state-space form of the equations of motion - affects the dynamic simulation of multibody systems and how it could be taken into account to define the concept of intelligent simulation. With this new concept all the factors involved in the simulation process modeling, equations, solution, etc. - are chosen and combined depending upon the characteristics of the system to be simulated. It is envisioned that this concept will lead to faster and more robust real-time simulators.

关键词： real-time-simulation computational multibody dynamics solution algorithms

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Chance-Constrained AC Optimal Power Flow: Reformulations and Efficient algorithms

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IEEE TRANSACTIONS ON POWER SYSTEMS 2018年第3期33卷 2906-2918页

作者： Roald, Line Andersson, Goran Los Alamos Natl Lab CNLS Los Alamos NM 87545 USA Los Alamos Natl Lab Div T Los Alamos NM 87545 USA Swiss Fed Inst Technol Power Syst Lab CH-8092 Zurich Switzerland

Higher levels of renewable electricity generation increase uncertainty in power system operation. To ensure secure system operation, new tools that account for this uncertainty are required. In this paper, we adopt a chance-constrained AC optimal power flow formulation, which guarantees that generation, power flows, and voltages remain within their bounds with a predefined probability. We then discuss different chance-constraint reformulations and solution approaches for the problem. We first describe an analytical reformulation based on partial linearization, which enables us to obtain a tractable representation of the optimization problem. We then provide an efficient algorithm based on an iterative solution scheme which alternates between solving a deterministic AC optimal power flow problem and assessing the impact of uncertainty. The flexibility of the iterative scheme enables not only scalable implementations, but also alternative chance-constraint reformulations. In particular, we suggest two sample-based reformulations that do not require any approximation or relaxation of the AC power flow equations. In a case study based on four different IEEE systems, we assess the performance of the method, and demonstrate scalability of the iterative scheme. We further show that the analytical reformulation accurately and efficiently enforces chance constraints in both in-and out-of-sample tests, and that the analytical reformulations outperforms the two alternative, sample-based chance constraint reformulations.

关键词： AC optimal power flow chance constraints reformulation methods solution algorithms

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A comparison of two approaches for solving unconstrained influence diagrams

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INTERNATIONAL JOURNAL OF APPROXIMATE REASONING 2009年第1期50卷 153-173页

作者： Ahlmann-Ohlsen, Kristian S. Jensen, Finn V. Nielsen, Thomas D. Pedersen, Ole Vomlelova, Marta Aalborg Univ Dept Comp Sci DK-9220 Aalborg Denmark Charles Univ Prague Fac Math Prague Czech Republic

Influence diagrams and decision trees represent the two most common frameworks for specifying and solving decision problems. As modeling languages, both of these frameworks require that the decision analyst specifies all possible sequences of observations and decisions (in influence diagrams, this requirement corresponds to the constraint that the decisions should be temporarily linearly ordered). Recently, the unconstrained influence diagram was proposed to address this drawback. In this framework, we may have a partial ordering of the decisions. and a solution to the decision problem therefore consists not only of a decision policy for the various decisions, but also of a conditional specification of what to do next. Relative to the complexity of solving an influence diagram, finding a solution to an unconstrained influence diagram may be computationally very demanding w.r.t. both time and space. Hence, there is a need for efficient algorithms that can deal with (and take advantage of) the idiosyncrasies of the language. In this paper we propose two such solution algorithms. One resembles the variable elimination technique from influence diagrams, whereas the other is based on conditioning and supports any-space inference. Finally, we present an empirical comparison of the proposed methods. (c) 2008 Elsevier Inc. All rights reserved.

关键词： Unconstrained influence diagrams solution algorithms Variable elimination Any-space inference

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Intelligent simulation of multibody dynamics: Space-state and descriptor methods in sequential and parallel computing environments

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MULTIBODY SYSTEM DYNAMICS 2000年第1期4卷 55-73页

作者： Cuadrado, J Cardenal, J Morer, P Bayo, E Univ A Coruna Escuela Politecn Super Ferrol 15403 Spain Univ Navarra Sch Engn & Architecture E-31080 Pamplona Spain

Real-time dynamic simulation of large, realistic and complex multibody systems is essential in developing modern technologies such as virtual prototyping, man-in-the-loop simulators and intelligent vehicle control systems. In order to achieve real-time performance, current commercial codes require the use of large costly computers, thus limiting the number of potential users. This paper shows that real-time can be achieved on medium-size workstations if, on the one hand, an adequate combination of modeling, dynamic formulation, and numerical integration scheme is selected and, on the other hand, advantage is taken of sparse matrix technology and parallel computing. A study of space-state and descriptor methods involving the dynamics of a whole vehicle model is carried out and in conclusion, two methods are proposed as the best candidates for real-time simulation.

关键词： real-time-simulation multibody dynamics solution algorithms parallel computing sparse matrix technologies

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