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Relevant bibliographies by topics / Differential quadrature-based elements

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Academic literature on the topic 'Differential quadrature-based elements'

Author: Grafiati

Published: 6 September 2023

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Journal articles on the topic "Differential quadrature-based elements"

1

Verma, Anjali, and Ram Jiwari. "Cosine expansion based differential quadrature algorithm for numerical simulation of two dimensional hyperbolic equations with variable coefficients." International Journal of Numerical Methods for Heat & Fluid Flow 25, no. 7 (September 7, 2015): 1574–89. http://dx.doi.org/10.1108/hff-08-2014-0240.

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Purpose – The purpose of this paper is to present the computational modeling of second-order two-dimensional nonlinear hyperbolic equations by using cosine expansion-based differential quadrature method (CDQM). Design/methodology/approach – The CDQM reduced the equations into a system of second-order differential equations. The obtained system is solved by RK4 method by converting into a system of first ordinary differential equations. Findings – The computed numerical results are compared with the results presented by other workers (Mohanty et al., 1996; Mohanty, 2004) and it is found that the present numerical technique gives better results than the others. Second, the proposed algorithm gives good accuracy by using very less grid point and less computation cost as comparison to other numerical methods such as finite difference methods, finite elements methods, etc. Originality/value – The author extends CDQM proposed in (Korkmaz and Dağ, 2009b) for two-dimensional nonlinear hyperbolic partial differential equations. This work is new for two-dimensional nonlinear hyperbolic partial differential equations.

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2

Kucharov, Olim, Fozil Turaev, Sergey Leonov, and Kholida Komilova. "Numerical study of nonlinear problems in the dynamics of thin-walled structural elements." E3S Web of Conferences 264 (2021): 05056. http://dx.doi.org/10.1051/e3sconf/202126405056.

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Mathematical model of the problem of vibration of thin-walled structural elements has been constructed based on Kirchhoff-Love theory. The problem is reduced, using the Bubnov-Galerkin method, to the solution of a set of nonlinear integro-differential Volterra type equations with weakly-singular kernels of relaxation. A numerical method based on the use of quadrature formulae being used for their solution. The influence of rheological parameters of the material on the values of critical velocity and amplitude-frequency characteristics of viscoelastic thin-walled structural elements is analyzed. It is shown that tacking account viscoelastic properties of the material of thin-walled structures lead to a decrease in the critical rate of gas flow.

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JANCHAI, Prawech. "Voltage-mode Second-order Filter and Quadrature Oscillator Based-on Differential Difference Current Conveyors and Only Grounded Elements." PRZEGLĄD ELEKTROTECHNICZNY 1, no. 9 (September 2, 2020): 64–69. http://dx.doi.org/10.15199/48.2020.09.13.

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Orlov, Victor, and Magomedyusuf Gasanov. "The Maximum Domain for an Analytical Approximate Solution to a Nonlinear Differential Equation in the Neighborhood of a Moving Singular Point." Axioms 12, no. 9 (August 30, 2023): 844. http://dx.doi.org/10.3390/axioms12090844.

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This paper presents the final stage in the study of the analytical approximate solution to a class of nonlinear differential equations unsolvable in quadrature in the general case in the neighborhood of a perturbed value of a moving singular point. An a priori error estimation is proven. The scope of application of the analytical approximate solution is extended; the formula for calculating this scope is obtained. The proof of the theorem is based on the application of elements of differential calculus. Theoretical results are supported by numerical calculations, which validate their reliability. The authors report a numerical comparison between the results, obtained in the paper, and the findings that were published earlier.

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5

Khudayarov, Bakhtiyar, Fozilzhon Turaev, and Olimzhon Kucharov. "Computer simulation of oscillatory processes of viscoelastic elements of thin-walled structures in a gas flow." E3S Web of Conferences 97 (2019): 06008. http://dx.doi.org/10.1051/e3sconf/20199706008.

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Results of numerical investigation of dynamic behavior of deformed wing aircraft in a gas flow are presented in the paper. Vibrations with respect to deflections are described by a system of integro-differential equations in partial derivatives. Using the Bubnov-Galerkin method, the problem is reduced to a system of ordinary integro-differential equations, where time is an independent variable. The solutions of integro-differential equations are determined by a numerical method based on the use of quadrature formulas. Computational algorithms and a package of applied programs have been created to solve problems on nonlinear flutter of viscoelastic elements of an aircraft. The reliability of the solution of the problem is confirmed by comparison with known numerical and analytical results. The effect of different boundary conditions on critical flutter velocity is studied. Critical velocity and critical flutter time of viscoelastic plates are determined. It is shown that the singularity parameter α affects not only the vibrations of viscoelastic systems, but also critical time and critical flutter velocity. It is stated that consideration of viscoelastic properties of plate material leads to 40 60% decrease in critical flutter velocity.

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Mirzaev, Sayibdjan, Majid Yusupov, Barna Rakhmankulova, Feruza Umarova, and Gulnaz Abdikayimova. "Vertical vibrations of traction engine with viscoelastic suspension." E3S Web of Conferences 365 (2023): 01022. http://dx.doi.org/10.1051/e3sconf/202336501022.

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The tasks of a traction engine with suspension elements and additional devices for converting movement (DCM) are considered. The object of protection, the estimated dynamic state, is solid with mass M and moment of inertia J relative to the center of gravity. To account the suspension material's rheological properties, the Boltzmann-Volterra principle is used. Mathematical models of the problem under consideration are obtained, which are described by the systems of integro-differential equations. A solution method based on quadrature formulas is developed, and a computer program is compiled based on its basis, the results of which are reflected in the graphs. The influence of DCM and rheological properties of the suspension material on the shape of the vertical vibrations of the object is investigated.

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7

Kiarasi, Faraz, Masoud Babaei, Kamran Asemi, Rossana Dimitri, and Francesco Tornabene. "Three-Dimensional Buckling Analysis of Functionally Graded Saturated Porous Rectangular Plates under Combined Loading Conditions." Applied Sciences 11, no. 21 (November 6, 2021): 10434. http://dx.doi.org/10.3390/app112110434.

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The present work studies the buckling behavior of functionally graded (FG) porous rectangular plates subjected to different loading conditions. Three different porosity distributions are assumed throughout the thickness, namely, a nonlinear symmetric, a nonlinear asymmetric and a uniform distribution. A novel approach is proposed here based on a combination of the generalized differential quadrature (GDQ) method and finite elements (FEs), labeled here as the FE-GDQ method, while assuming a Biot’s constitutive law in lieu of the classical elasticity relations. A parametric study is performed systematically to study the sensitivity of the buckling response of porous structures, to different input parameters, such as the aspect ratio, porosity and Skempton coefficients, along with different boundary conditions (BCs) and porosity distributions, with promising and useful conclusions for design purposes of many engineering structural porous members.

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Petrov, Andrey, Sergey Aizikovich, and Leonid A. Igumnov. "Modeling of Wave Propagation in the Unsaturated Soils Using Boundary Element Method." Key Engineering Materials 743 (July 2017): 158–61. http://dx.doi.org/10.4028/www.scientific.net/kem.743.158.

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Problems of wave propagation in poroelastic bodies and media are considered. The behavior of the poroelastic medium is described by Biot theory for partially saturated material. Mathematical model is written in term of five basic functions – elastic skeleton displacements, pore water pressure and pore air pressure. Boundary element method (BEM) is used with step method of numerical inversion of Laplace transform to obtain the solution. Research is based on direct boundary integral equation of three-dimensional isotropic linear theory of poroelasticity. Green’s matrices and, based on it, boundary integral equations are written for basic differential equations in partial derivatives. Discrete analogue are obtained by applying the collocation method to a regularized boundary integral equation. To approximate the boundary consider its decomposition to a set of quadrangular and triangular 8-node biquadratic elements, where triangular elements are treated as singular quadrangular. Every element is mapped to a reference one. Interpolation nodes for boundary unknowns are a subset of geometrical boundary-element grid nodes. Local approximation follows the Goldshteyn’s generalized displacement-stress matched model: generalized boundary displacements are approximated by bilinear elements whereas generalized tractions are approximated by constant. Integrals in discretized boundary integral equations are calculated using Gaussian quadrature in combination with singularity decreasing and eliminating algorithms.

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Furqan, Muhammad, Faisal Ahmed, Reinhard Feger, Klaus Aufinger, Walter Hartner, and Andreas Stelzer. "A SiGe-based fully-integrated 122-GHz FMCW radar sensor in an eWLB package." International Journal of Microwave and Wireless Technologies 9, no. 6 (February 10, 2017): 1219–30. http://dx.doi.org/10.1017/s1759078717000095.

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High-performance SiGe HBTs and advancements in packaging processes have enabled system-in-package (SiP) designs for millimeter-wave applications. This paper presents a 122-GHz bistatic frequency modulated continuous wave (FMCW) radar SiP. The intended applications for the SiP are short-range distance and angular position measurements as well as communication links between cooperative radar stations. The chip is realized in a 130-nm SiGe BiCMOS technology and is based on a fully differential frequency-multiplier chain with in phase quadrature phase receiver and a binary phase shift keying modulator in the transmit chain. On-wafer measurement results show a maximum transmit output power of 2.7 dBm and a receiver gain of 11 dB. The chip consumes a DC power of 570 mW at a supply voltage of 3.3 V. The fabricated chip is integrated in an embedded wafer level ball grid array (eWLB) package. Transmit/receive rhombic antenna arrays with eight elements are designed in two eWLB packages with and without backside metal, with a measured peak gain of 11 dBi. The transceiver chip size is 1.8 mm × 2 mm, while the package size is 12 mm × 6 mm, respectively. FMCW measurements have been conducted with a sweep bandwidth of up to 17 GHz and a measured range resolution of 1.5 cm has been demonstrated. 2D positions of multiple targets have been computed using two coherently linked radar stations.

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Wang, Haijun, Weihua Jiang, Qing Hu, Jianjun Zhang, and Yanqing Jia. "Differential Evolution Algorithm-Aided Time-Varying Carrier Frequency Offset Estimation for OFDM Underwater Acoustic Communication." Journal of Marine Science and Engineering 10, no. 12 (November 28, 2022): 1826. http://dx.doi.org/10.3390/jmse10121826.

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Orthogonal frequency division multiplexing (OFDM) is the preferred scheme for high-speed communication in the field of underwater acoustic communication. However, it is very sensitive to the carrier frequency offset (CFO). This study used a time-varying CFO estimation method aided by the differential evolution (DE) algorithm to accurately estimate the CFO of an OFDM system. This method was based on the principle that the received OFDM signal with inter-carrier interference could be considered by a Multi Carrier-code division multiple access (MC-CDMA) system on the receiver side because MC-CDMA is a technology that combines OFDM and code division multiple access (CMDA). Because it is suitable for solving problems where there are dependencies between adjacent variables, the DE algorithm was used to capture the varying CFO values on the adjacent blocks. The spreading code of the MC-CDMA was obtained based on the estimated CFO values, which were elements in the DE solutions. Then the received signal was reconstructed. The Root-Mean-Square Error between the reconstructed and actual received signals was used as the cost function, and the CFO was estimated using the DE algorithm because of its powerful parallel search capability. The simulation results showed that the proposed method had a high estimation accuracy. Compared with other intelligent optimization algorithms such as the genetic algorithm and simulated annealing mutated-genetic algorithm, the time-varying CFO estimation performance of the DE algorithm was better because of its unique ability to solve problems with dependencies between adjacent variables. Specifically, under the condition of a high signal-to-noise ratio, the improvement of estimation accuracy reaches 36.13%, and the Bit Error Rate of demodulation is thus reduced by 75%, compared with the reference algorithms. In addition, the proposed method also has good applicability to modulation methods. For phase-shift keying and quadrature amplitude modulation, in particular, the proposed method not only achieved high-precision time-varying CFO estimation values, but also reduced the demodulation deterioration caused by noise.

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Books on the topic "Differential quadrature-based elements"

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Differential Quadrature and Differential Quadrature Based Element Methods. Elsevier, 2015. http://dx.doi.org/10.1016/c2014-0-03612-x.

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2

Wang, Xinwei. Differential Quadrature and Differential Quadrature Based Element Methods: Theory and Applications. Elsevier Science & Technology Books, 2015.

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Wang, Xinwei. Differential Quadrature and Differential Quadrature Based Element Methods: Theory and Applications. Elsevier Science & Technology Books, 2015.

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Book chapters on the topic "Differential quadrature-based elements"

1

Wang, Xinwei. "Quadrature Element Method." In Differential Quadrature and Differential Quadrature Based Element Methods, 64–104. Elsevier, 2015. http://dx.doi.org/10.1016/b978-0-12-803081-3.00004-8.

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Wang, Xinwei. "Differential Quadrature Element Method." In Differential Quadrature and Differential Quadrature Based Element Methods, 27–43. Elsevier, 2015. http://dx.doi.org/10.1016/b978-0-12-803081-3.00002-4.

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3

Wang, Xinwei. "Differential Quadrature Method." In Differential Quadrature and Differential Quadrature Based Element Methods, 1–26. Elsevier, 2015. http://dx.doi.org/10.1016/b978-0-12-803081-3.00001-2.

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Wang, Xinwei. "Methods of Applying Boundary Conditions." In Differential Quadrature and Differential Quadrature Based Element Methods, 44–63. Elsevier, 2015. http://dx.doi.org/10.1016/b978-0-12-803081-3.00003-6.

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5

Wang, Xinwei. "In-plane Stress Analysis." In Differential Quadrature and Differential Quadrature Based Element Methods, 105–19. Elsevier, 2015. http://dx.doi.org/10.1016/b978-0-12-803081-3.00005-x.

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Wang, Xinwei. "Static Analysis of Thin Plate." In Differential Quadrature and Differential Quadrature Based Element Methods, 120–33. Elsevier, 2015. http://dx.doi.org/10.1016/b978-0-12-803081-3.00006-1.

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7

Wang, Xinwei. "Linear Buckling Analysis of Thin Plate." In Differential Quadrature and Differential Quadrature Based Element Methods, 134–52. Elsevier, 2015. http://dx.doi.org/10.1016/b978-0-12-803081-3.00007-3.

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8

Wang, Xinwei. "Free Vibration Analysis of Thin Plate." In Differential Quadrature and Differential Quadrature Based Element Methods, 153–66. Elsevier, 2015. http://dx.doi.org/10.1016/b978-0-12-803081-3.00008-5.

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Wang, Xinwei. "Geometric Nonlinear Analysis." In Differential Quadrature and Differential Quadrature Based Element Methods, 167–200. Elsevier, 2015. http://dx.doi.org/10.1016/b978-0-12-803081-3.00009-7.

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Wang, Xinwei. "Elastoplastic Buckling Analysis of Plate." In Differential Quadrature and Differential Quadrature Based Element Methods, 201–27. Elsevier, 2015. http://dx.doi.org/10.1016/b978-0-12-803081-3.00010-3.

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Conference papers on the topic "Differential quadrature-based elements"

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Chen, Chang-New. "Analyses of Frame Problems by DQEM Using EDQ." In ASME 1999 International Mechanical Engineering Congress and Exposition. American Society of Mechanical Engineers, 1999. http://dx.doi.org/10.1115/imece1999-0090.

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Abstract The differential quadrature element method (DQEM) and the extended differential quadrature (EDQ) have been proposed by the author. The EDQ is used to the differential quadrature element analysis of the frame problems. The element can be a nonprismatic beam. The EDQ technique is used to discretize the element-based governing differential equations, the transition conditions at joints and the boundary conditions on domain boundaries. An overall algebraic system can be obtained by assembling all of the discretized equations. A numerically rigorous solution can be obtained by solving the global algebraic system. Mathematical formulations for the EDQ-based DQEM frame analysis are carried out. By using this DQEM model, accurate results of frame problems can efficiently be obtained. Numerical results demonstrate this DQEM model.

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Chen, Chang-New. "Differential Quadrature Element Method for the Analysis of Vibration of Frame Structures Having Nonprismatic Members Considering Warping Torsion." In ASME 2000 International Mechanical Engineering Congress and Exposition. American Society of Mechanical Engineers, 2000. http://dx.doi.org/10.1115/imece2000-2211.

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Abstract The differential quadrature element method (DQEM) and the extended differential quadrature (EDQ) have been proposed by the author. The EDQ is used to the DQEM vibration analysis frame structures. The element can be a nonprismatic beam considering the warping due to torsion. The EDQ technique is used to discretize the element-based differential eigenvalue equations, the transition conditions at joints and the boundary conditions on domain boundaries. An overall discrete eigenvalue system can be obtained by assembling all of the discretized equations. A numerically rigorous solution can be obtained by solving the overall discrete eigenvalue system. Mathematical formulations for the EDQ-based DQEM vibration analysis of nonprismatic structures considering the effect of warping torsion are carried out. By using this DQEM model, accurate results of frame problems can efficiently be obtained.

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Chen, Chang-New. "Truss Analyses by DQEM." In ASME 1999 International Mechanical Engineering Congress and Exposition. American Society of Mechanical Engineers, 1999. http://dx.doi.org/10.1115/imece1999-0089.

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Abstract A new numerical approach for solving generic three-dimensional truss problems having nonprismatic members is developed. This approach employs the differential quadrature (DQ) technique to discretize the element-based governing differential equations, the transition conditions at joints and the boundary conditions on the domain boundary. A global algebraic equation system can be obtained by assembling all of the discretized equations. A numerically rigorous solution can be obtained by solving the global algebraic equation system. Mathematical formulations for two-dimensional differential quadrature element method (DQEM) truss model are carried out. By using this DQEM model, accurate results of two-dimensional truss problems can efficiently be obtained. Numerical results demonstrate this DQEM model.

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Chen, Chang-New. "Development of Differential Quadrature Related Generalized Methods, Discrete Element Analysis Methods and EDQ Based Time Integration Methods." In ASME 2005 Pressure Vessels and Piping Conference. ASMEDC, 2005. http://dx.doi.org/10.1115/pvp2005-71414.

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Development of differential quadrature related generalized methods, discrete element analysis methods and EDQ based time integration methods has been carried out the last few years. The related numerical algorithms are summarized and presented. Numerical results are also presented.

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Guan, Yue, Leiting Dong, and Satya N. Atluri. "A New Meshless “Fragile Points Method (FPM)” Based on a Galerkin Weak-Form for 2D Flexoelectric Analysis." In ASME 2020 International Mechanical Engineering Congress and Exposition. American Society of Mechanical Engineers, 2020. http://dx.doi.org/10.1115/imece2020-24527.

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Abstract A meshless Fragile Points Method (FPM) is presented for analyzing 2D flexoelectric problems. Local, simple, polynomial and discontinuous trial and test functions are generated with the help of a local meshless differential quadrature approximation of the first three derivatives. Interior Penalty Numerical Fluxes are employed to ensure the consistency of the method. Based on a Galerkin weak-form formulation, the present FPM leads to symmetric and sparse matrices, and avoids the difficulties of numerical integration in the previous meshfree methods. Numerical examples including isotropic and anisotropic materials with flexoelectric and piezoelectric effects are provided as validations. The present method is much simpler than the Finite Element Method, or the Element-Free Galerkin (EFG) and Meshless Local Petrov-Galerkin (MLPG) methods, and the numerical integration of the weak form is trivially simple.

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Mahdavi, Amirhossein, Aminallah Pourasghar, Zengtao Chen, and André McDonald. "Transient Thermal Evolution During Deposition of Cold-Sprayed Coatings." In ITSC2019, edited by F. Azarmi, K. Balani, H. Koivuluoto, Y. Lau, H. Li, K. Shinoda, F. Toma, J. Veilleux, and C. Widener. ASM International, 2019. http://dx.doi.org/10.31399/asm.cp.itsc2019p0592.

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Abstract Knowledge of thermal interactions between the substrate and deposited particles during cold spraying can shed light on coating formation and bonding mechanisms. In this study, a mathematical model based on the differential quadrature method was used to solve the hyperbolic heat conduction problem to predict the transient thermal evolution associated with the impact of a single particle. In addition, a 2D finite element model was developed to simulate the thermal and dynamic behavior of particle impact. The two models showed good agreement in predicting the maximum temperature at the particle-substrate interface. It was concluded that the proposed mathematical model could be used to predict the transient temperature of metallic and nonmetallic particle-substrate interfaces during cold spray deposition.

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Xie, Chunmei, Aurélien Babarit, François Rongère, and Alain H. Clément. "Use of Clement’s ODEs for the Speedup of Computation of the Green Function and its Derivatives for Floating or Submerged Bodies in Deep Water." In ASME 2018 37th International Conference on Ocean, Offshore and Arctic Engineering. American Society of Mechanical Engineers, 2018. http://dx.doi.org/10.1115/omae2018-78295.

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A new acceleration technique for the computation of first order hydrodynamic coefficients for floating bodies in frequency domain and in deep water is proposed. It is based on the classical boundary element method (BEM) which requires solving a boundary integral equation for distributions of sources and/or dipoles and evaluating integrals of Kelvin’s Green function and its derivatives over panels. The Kelvin’s Green function includes two Rankine sources and a wave term. In present study, for the two Rankine sources, analytical integrations of strongly singular kernels are adopted for the linear density distributions. It is shown that these analytical integrations are more accurate and faster than numerical integrations. The wave term is obtained by solving Clément’s ordinary differential equations (ODEs) [1] and an adaptive numerical quadrature is performed for integrations over the panels. It is shown here that the computational time of the wave term by solving the ODEs is greatly reduced compared to the classical integration method [7].

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