Open Access
ARTICLE
S. Saha Ray1, A. K. Gupta1
CMES-Computer Modeling in Engineering & Sciences, Vol.91, No.6, pp. 409-424, 2013, DOI:10.3970/cmes.2013.091.409
Abstract In this paper, Haar wavelet method is applied to compute the numerical solutions of non-linear partial differential equations like Huxley and Burgers- Huxley equation. The approximate solutions of the Huxley and Burgers-Huxley equations are compared with the exact solutions. The present scheme is very simple, effective and convenient with small computational overhead. More >
Open Access
ARTICLE
X.F. Guan1, X. Liu2, J.Z. Cui3
CMES-Computer Modeling in Engineering & Sciences, Vol.91, No.6, pp. 425-444, 2013, DOI:10.3970/cmes.2013.091.425
Abstract In this paper, a stochastic geometrical modeling method for reconstructing three dimensional multiscale pore structures of porous materials is presented. In this method, the pore structure in porous materials is represented by a random but spatially correlated pore-network, in which the results of the Mercury Intrusion Porosimetry (MIP) experiment are used as the basic input information. Beside that, based on the Monte Carlo techniques, an effective computer generation algorithm is developed, and the quantities to evaluate the properties of porous materials are defined and described. Furthermore, numerical implementations are conducted based on experimental data afterwards. This method can be used… More >
Open Access
ARTICLE
Yasunori Yusa1, Shinobu Yoshimura1
CMES-Computer Modeling in Engineering & Sciences, Vol.91, No.6, pp. 445-461, 2013, DOI:10.3970/cmes.2013.091.445
Abstract For large-scale fracture mechanics simulation, a partitioned iterative coupling method is investigated. In this method, an analysis model is decomposed into two domains, which are analyzed separately. A crack is introduced in one small domain, whereas the other large domain is a simple elastic body. Problems concerning fracture mechanics can be treated only in the small domain. In order to satisfy both geometric compatibility and equilibrium on the domain boundary, the two domains are analyzed repeatedly using an iterative solution technique. A benchmark analysis was performed in order to validate the method and evaluate its computational performance. The computed stress… More >
Open Access
ARTICLE
Z.Y. Qian, Z.D. Han1, S.N. Atluri1, 2
CMES-Computer Modeling in Engineering & Sciences, Vol.91, No.6, pp. 463-484, 2013, DOI:10.3970/cmes.2013.091.463
Abstract To predict the sound field in an acoustic problem, the well-known non-uniqueness problem has to be solved. In a departure from the common approaches used in the prior literature, the weak-form of the Helmholtz differential equation, in conjunction with vector test-functions, is utilized as the basis, in order to directly derive non-hyper-singular boundary integral equations for the velocity potential ∅, as well as its gradients q;. Both ∅-BIE and q-BIE are fully regularized to achieve weak singularities at the boundary [i.e., containing singularities of O(r-1)]. Collocation-based boundary-element numerical approaches [denoted as BEM-R-∅-BIE, and BEM-R-q-BIE] are implemented to solve these. To… More >
Open Access
ARTICLE
T.-T. Hoang-Trieu1, N. Mai-Duy1, C.-D. Tran1, T. Tran-Cong1
CMES-Computer Modeling in Engineering & Sciences, Vol.91, No.6, pp. 485-516, 2013, DOI:10.3970/cmes.2013.091.485
Abstract In this paper, compact local integrated radial basis function (IRBF) stencils reported in [Mai-Duy and Tran-Cong (2011) Journal of Computational Physics 230(12), 4772-4794] are introduced into the finite-volume / subregion - collocation formulation for the discretisation of second-order differential problems defined on rectangular and non-rectangular domains. The problem domain is simply represented by a Cartesian grid, over which overlapping compact local IRBF stencils are utilised to approximate the field variable and its derivatives. The governing differential equation is integrated over non-overlapping control volumes associated with grid nodes, and the divergence theorem is then applied to convert volume integrals into surface/line… More >
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