CMES-Vol. 54, No. 2, 2009

Open Access

ARTICLE

Radiative Properties Estimation with the Luus-Jaakola and the Particle Collision Algorithm
D. C. Knupp¹, A. J. Silva Neto², W. F. Sacco³
CMES-Computer Modeling in Engineering & Sciences, Vol.54, No.2, pp. 121-146, 2009, DOI:10.3970/cmes.2009.054.121
Abstract The inverse analysis of radiative transfer in participating media has several practical applications. In most cases, the inverse problem is formulated implicitly and the solution is given by the minimization of an objective function. Gradient based methods have largely been used for that purpose, but it has been observed in recent years an increasing interest in the use of stochastic methods. In this work, it is proposed the use of the Luus-Jaakola method and the Particle Collision Algorithm. The former is a random search optimization method that has been successfully employed mainly in chemical engineering, More >

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ARTICLE

On the Location of Zeroes of Polynomials from the Stability Analysis of Novel Strong-Form Meshless Random Differential Quadrature Method
Hua Li¹, Shantanu S. Mulay¹, Simon See²
CMES-Computer Modeling in Engineering & Sciences, Vol.54, No.2, pp. 147-200, 2009, DOI:10.3970/cmes.2009.054.147
Abstract In this paper, the stability characteristics of a novel strong-form meshless method, called the random differential quadrature (RDQ), are studied using the location of zeros or roots of its characteristic polynomials with respect to unit circle in complex plane by discretizing the domain with the uniform or random field nodes. This is achieved by carrying out the RDQ method stability analysis for the 1st-order wave, transient heat conduction and transverse beam deflection equations using both the analytical and numerical approaches. The RDQ method extends the applicability of the differential quadrature (DQ) method over irregular domain,… More >

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An Iterative Time-Domain Algorithm for Acoustic-Elastodynamic Coupled Analysis Considering Meshless Local Petrov-Galerkin Formulations
Delfim Soares Jr.¹
CMES-Computer Modeling in Engineering & Sciences, Vol.54, No.2, pp. 201-222, 2009, DOI:10.3970/cmes.2009.054.201
Abstract In this work, meshless methods based on the local Petrov-Galerkin approach are employed for the time-domain analysis of interacting fluid and solid systems. For the spatial discretization of the acoustic fluid and elastodynamic solid sub-domains involved in the coupled analyses, MLPG formulations adopting Gaussian weight functions as test functions are considered, as well as the moving least square method is used to approximate the incognita fields. For time discretization, the Houbolt's method is adopted. The fluid-solid coupled analysis is accomplished by an iterative algorithm. In this iterative approach, each sub-domain of the global model is More >

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ARTICLE

Interface Crack Problems in Anisotropic Solids Analyzed by the MLPG
J. Sladek¹, V. Sladek¹, M. Wünsche², Ch. Zhang²
CMES-Computer Modeling in Engineering & Sciences, Vol.54, No.2, pp. 223-252, 2009, DOI:10.3970/cmes.2009.054.223
Abstract A meshless method based on the local Petrov-Galerkin approach is proposed, to solve the interface crack problem between two dissimilar anisotropic elastic solids. Both stationary and transient mechanical and thermal loads are considered for two-dimensional (2-D) problems in this paper. A Heaviside step function as the test functions is applied in the weak-form to derive local integral equations. Nodal points are spread on the analyzed domain, and each node is surrounded by a small circle for simplicity. The spatial variations of the displacements and temperature are approximated by the Moving Least-Squares (MLS) scheme. After performing More >

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