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29th International Symposium on Rarefied Gas Dynamics(第29届国际稀薄气体动力学会议)

作者： Vladimir Kolobov Robert Arslanbekov Anna Frolova CFD Resaerch Corporation HuntsvilleAL35806USA Dorodnitsyn Computing Center of the Russian Academy of SciencesMoscow119333Russia

ISBN: (纸本)9780735412651

The paper describes an Adaptive Mesh in Phase Space (AMPS) technique for solving kinetic equations with deterministic mesh-based methods. The AMPS technique allows automatic generation of adaptive Cartesian mesh in both physical and velocity spaces using a Tree-of-Trees data structure. We illustrate advantages of AMPS for simulations of rarefied gas dynamics and electron kinetics on low temperature plasmas. In particular, we consider formation of the velocity distribution functions in hypersonic flows, particle kinetics near oscillating boundaries, and electron kinetics in a radio-frequency sheath. AMPS provide substantial savings in computational cost and increased efficiency of the mesh-based kinetic solvers.

关键词： Boltzmann kinetic equation discrete velocity method adaptive mesh in phase space three of trees kinetic equations rarefied gas dynamics Phase space Plasma physics Gas dynamics velocity distribution LOW TEMPERATURE PLASMAS Medical Subject Headings hypersonic speed Self tuning Kinetics autogeneration Finite difference methods discrete ORDINATE method discrete variable method

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Application of ON/OFF method to new conceptual design of magnetic devices

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COMPEL-THE INTERNATIONAL JOURNAL FOR COMPUTATION AND MATHEMATICS IN ELECTRICAL AND ELECTRONIC ENGINEERING 2013年第6期32卷 1943-1954页

作者： Takahashi, Norio Okayama Univ Dept Elect & Elect Engn Okayama 7008530 Japan

Purpose - The purpose of the paper is to show that how a new magnetic circuit, which we could not imagined beforehand, may be obtained using a newly developed ON/OFF topology optimization method by applying it to the design of magnetic head and motor. Design/methodology/approach - ON/OFF optimization technique combined with finite element method. Findings - It is shown that 3-D topology optimization of SPT head, in which the recording head is increased and the leakage flux is decreased, is possible using the proposed method. The optimization of IPM motor with the minimum torque ripple and the maximum toque is also examined. Originality/value - 3D ON/OFF optimization method applied to practical problems considering the nonlinearity and rotation of rotor, etc.

关键词： ON/OFF method Adjoint variable method Magnetic head IPM motor Magnetic devices Finite element analysis Conceptual design magnetic devices Magnetic heads instrumental variable technique Finite element method torque ripple discrete variable method

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An adjoint variable method for time domain TLM with fixed structured grids

An adjoint variable method for time domain TLM with fixed st...

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IEEE MTT-S International Microwave Symposium

作者： Bakr, MH Nikolova, NK McMaster Univ Dept Elect & Comp Engn Hamilton ON L8S 4K1 Canada

ISBN: (纸本)0780376951

We present a breakthrough algorithm for efficient estimation of objective function sensitivities for time-domain TLM with nondispersive boundaries. The original electromagnetic structure is simulated using TLM. An adjoint TLM simulation that runs backward in time is derived and solved. The sensitivities of the objective function with respect to all the designable parameters are estimated using only the original and adjoint simulations. Our approach is illustrated through estimating the sensitivities of an objective function with respect to the dimensions of a waveguide discontinuity.

关键词： transmission line matrix methods time-domain analysis waveguide discontinuities parallel plate waveguides sensitivity analysis time domain TLM fixed structured grids adjoint variable method breakthrough algorithm objective function sensitivi waveguide discontinuities transmission line matrix methods parallel plate waveguides Time domain analysis Objective function discrete variable method instrumental variable technique Adjoint matrix Sensitivity analysis antimicrobial susceptibility

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Design sensitivity analysis for sequential structural-acoustic problems

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JOURNAL OF SOUND AND VIBRATION 2003年第3期263卷 569-591页

作者： Kim, NH Dong, J Choi, KK Vlahopoulos, N Ma, ZD Castanier, MP Pierre, C Univ Iowa Coll Engn Dept Mech Engn Ctr Comp Aided Design Iowa City IA 52242 USA Univ Florida Coll Engn Dept Mech & Aerosp Engn Gainesville FL 32611 USA Univ Michigan Dept Naval Architecture & Marine Engn Ann Arbor MI 48109 USA Univ Michigan Dept Mech Engn Ann Arbor MI 48109 USA

A design sensitivity analysis of a sequential structural-acoustic problem is presented in which structural and acoustic behaviors are de-coupled. A frequency-response analysis is used to obtain the dynamic behavior of an automotive structure, while the boundary element method is used to solve the pressure response of an interior, acoustic domain. For the purposes of design sensitivity analysis, a direct differentiation method and an adjoint variable method are presented. In the adjoint variable method, an adjoint load is obtained from the acoustic boundary element re-analysis, while the adjoint solution is calculated from the structural dynamic re-analysis. The evaluation of pressure sensitivity only involves a numerical integration process for the structural part. The proposed sensitivity results are compared to finite difference sensitivity results with excellent agreement. (C) 2002 Elsevier Science Ltd. All rights reserved.

关键词： Boundary-element method Frequency-response Systems Formulation Sequential frequency response analysis Finite differences instrumental variable technique Adjoint matrix Sensitivity analysis Boundary element methods frequency response pressure respond pressure sensitivity discrete variable method

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Nonlinear capillary wave distortion and disintegration of thin planar liquid sheets

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JOURNAL OF FLUID MECHANICS 1999年第0期388卷 69-113页

作者： Mehring, C Sirignano, WA Univ Calif Irvine Dept Mech & Aerosp Engn Irvine CA 92697 USA

Linear and nonlinear dilational and sinuous capillary waves on thin inviscid infinite and semi-infinite planar liquid sheets in a void are analysed in a unified manner by means of a method that reduces the two-dimensional unsteady problem to a one-dimensional unsteady problem. For nonlinear dilational waves on infinite sheets, the accuracy of the numerical solutions is verified by comparing with an analytical solution. The nonlinear dilational wave maintains a reciprocal relationship between wavelength and wave speed modified from the linear theory prediction by a dependence of the product of wavelength and wave speed on the wave amplitude. For the general dilational case, nonlinear numerical simulations show that the sheet is unstable to superimposed subharmonic disturbances on the infinite sheet. Agreement for both sinuous and dilational waves is demonstrated for the infinite case between nonlinear simulations using the reduced one-dimensional approach, and nonlinear two-dimensional simulations using a discrete-vortex method. For semi-infinite dilational and sinuous distorting sheets that are periodically forced at the nozzle exit, linear and nonlinear analyses predict the appearance of two constant-amplitude waves of nearly equal wavelengths, resulting in a sheet disturbance characterized by a long-wavelength envelope of a short-wavelength oscillation. For semi-infinite sheets with sinuous waves, qualitative agreement between the dimensionally reduced analysis and experimental results is found. For example, a half-wave thinning and a sawtooth wave shape is found for the nonlinear sinuous mode. For the semi-infinite dilational case, a critical frequency-dependent Weber number is found below which one component of the disturbances decays with downstream distance. For the semi-infinite sinuous case, a critical Weber number equal to 2 is found;below this value, only one characteristic is emitted in the positive time direction from the nozzle exit.

关键词： Capillary flow Unsteady flow Computer simulation Vortex flow Nozzles Oscillations Nonlinear capillary wave distortions Thin planar liquid sheets discrete-vortex method Critical frequency-dependent Weber number unsteady flow nozzles Vortex flow capillary flow discrete ORDINATE method capillary waves Finite difference methods Planar nonlinearity discrete variable method

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discrete variable and finite element techniques applied to simple atomic systems

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JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS 1999年第1-2期109卷 95-122页

作者： Schweizer, W Fassbinder, P González-Ferez, R Braun, M Kulla, S Stehle, M Univ Tubingen Inst Theoret Astrophys D-72076 Tubingen Germany Univ Granada Inst Carlos 1 Fis Teor & Computac E-18071 Granada Spain Univ S Africa Dept Phys ZA-0003 Pretoria South Africa

We present effective numerical algorithms based on discrete variable techniques and finite elements for solving the non-separable three-dimensional Schrodinger equation and a method for the solution of the two electron problem in a strong magnetic field, that combines the hyperspherical close coupling and the Finite Element method. As an example we will present some atomic data for the hydrogen and the helium atom in external fields relevant for magnetic white dwarf stars. (C) 1999 Elsevier Science B.V. All rights reserved.

关键词： discrete variable method finite element method complex coordinate rotation non-integrable systems alkali metal atoms helium atom resonances

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On the theory of phase transitions by the collective variables method

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INTERNATIONAL JOURNAL OF MODERN PHYSICS B 1997年第8期11卷 1009-1022页

作者： Ilnytskyi, JM Kozlovskii, MP Yukhnovskii, IR Institute for Condensed Matter Physics of the Ukrainian National Academy of Sciences 1 Svientsitskii Str. UA–290011 Lviv Ukraine This work was supported in part by the State Fund for Fundamental Investigations under the program DKNT 2.3/132 of Ukrainian State Committee for Science and Technology.

We calculate relatively accurate critical indices within the collective variables method applied to the phase transitions theory. Discussion on stability of the results and low-level comparison with the other approach... 详细信息

关键词： CRITICAL EXPONENTS ISING-MODEL FIELD-THEORY EQUATION field theory (physics) Ising model critical exponents Phase transtormations instrumental variable technique theories LOW LEVEL discrete variable method

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DESIGN SENSITIVITY ANALYSIS FOR NONLINEAR MAGNETOSTATIC PROBLEMS USING FINITE-ELEMENT method

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IEEE TRANSACTIONS ON MAGNETICS 1992年第2期28卷 1533-1536页

作者： PARK, IH LEE, BT HAHN, SY Department of Electrical Engineering Seoul National University Seoul South Korea

This paper presents a sensitivity analysis for the shape design problems of 2-dimensional nonlinear magnetostatic system. In order to derive the design sensitivity, the algebraic equation resulting from the finite element method is exploited and the adjoint variable method is used. This algorithm is applied to the shape design problem of a quadrupole magnet which operates in the magnetic saturation region and the numerical results validate the algorithm.

关键词： instrumental variable technique Sensitivity analysis Finite element method magnetostatic iterative methods discrete variable method nonlinearity design problems pole shape

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