CMES-Vol. 86, No. 3, 2012

Open Access

ARTICLE

The Optimal Control Problem of Nonlinear Duffing Oscillator Solved by the Lie-Group Adaptive Method
Chein-Shan Liu¹
CMES-Computer Modeling in Engineering & Sciences, Vol.86, No.3, pp. 171-198, 2012, DOI:10.3970/cmes.2012.086.171
Abstract In the optimal control theory, the Hamiltonian formalism is a famous one to find an optimal solution. However, when the performance index is complicated or for a degenerate case with a non-convexity of the Hamiltonian function with respect to the control force the Hamiltonian method does not work to find the solution. In this paper we will address this important issue via a quite different approach, which uses the optimal control problem of nonlinear Duffing oscillator as a demonstrative example. The optimally controlled vibration problem of nonlinear oscillator is recast into a nonlinear inverse problem… More >

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ARTICLE

On the Modeling of Surface Tension and its Applications by the Generalized Interpolation Material Point Method
L. Chen¹ J. H. Lee¹, C.-f. Chen¹
CMES-Computer Modeling in Engineering & Sciences, Vol.86, No.3, pp. 199-224, 2012, DOI:10.3970/cmes.2012.086.199
Abstract This paper presents a numerical procedure to model surface tension using the Generalized Interpolation Material Point (GIMP) method which employs a background mesh in solving the equations of motion. The force due to surface tension is formulated at the mesh grid points by using the continuum surface force (CSF) model and then added to the equations of motion at each grid point. In GIMP, we use the grid mass as the color function in CSF and apply a moving average smoothing scheme to the grid mass to improve the accuracy in calculating the surface interface. More >

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Modeling and Simulation of Phantom Temperature Field in Magnetic Induction Hyperthermia
J.H. Wu¹, L.Y. Zhu², J.T. Tang³
CMES-Computer Modeling in Engineering & Sciences, Vol.86, No.3, pp. 225-240, 2012, DOI:10.3970/cmes.2012.086.225
Abstract Magnetic induction hyperthermia is one of hopeful methods for tumor therapy. In this method, several ferromagnetic seeds are needed to be implanted into the tumor. The seeds would produce energy, and cause the nearby tumor to die. Temperature prediction is significant before treatment. In addition, in clinical treatment, the tumor temperature has to be monitored in realtime. However, using as few thermometers as possible is the basic principle. Fortunately, the numerical simulation can contribute to realtime measurement. The seed temperature is modeled based on the Haider's method, which is treated as the thermal boundary in More >

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Optimizations for Elastodynamic Simulation Analysis with FMM-DRBEM and CUDA
Yixiong Wei¹, Qifu Wang^1,2, Yingjun Wang¹, Yunbao Huang¹
CMES-Computer Modeling in Engineering & Sciences, Vol.86, No.3, pp. 241-274, 2012, DOI:10.3970/cmes.2012.086.241
Abstract In this study, we propose a novel method to accelerate the process of elastodynamic analysis in 3D problems with BEM (boundary element method). With applying the DRBEM (dual reciprocity boundary element method) to form new integral equations for reducing complexity;the modified FMM (fast multipole method)is introduced to simplify the computation process and save storage space by avoiding intermediate coefficientmatrices. At the same time, FMM-DRBEM is reprogrammed in parallel byapplying GPU with CUDA (Compute Unified Device Architecture)for improving efficiency further.The main features in this paper are: ( 1 )with respect to defects of classical method for More >

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