Search Results - Complex variables methods applied to problems in fluid mechanics~

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    The q-least squares kinetic upwind method ( q-LSKUM) with variable step applied to internal fluid flow problems by Dauhoo, M.Z., Jain, M.K., Suddhoo, A.

    ISSN: 0045-7825, 1879-2138
    Published: Amsterdam Elsevier B.V 28.09.2001
    “…In any fluid flow calculation, it is essential to capture the finer details of the flow field to obtain a high degree of accuracy in the flow quantities…”
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    Journal Article
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    COMPLEX VARIABLE BOUNDARY ELEMENTS IN APPLIED MATHEMATICS (NUMERICAL METHODS, POTENTIAL PROBLEMS, STRESS ANALYSIS, GROUNDWATER) by HROMADKA, THEODORE VINCENT

    ISBN: 1392621135, 9781392621134
    Published: ProQuest Dissertations & Theses 01.01.1985
    “… The complex variable boundary element method (CVBEM) develops approximations for both the potential and stream functions…”
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    Dissertation
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    Advanced Mathematical Modeling and Numerical Solutions in Applied Mechanics and Engineering

    ISBN: 372580219X, 9783725802197, 3725802203, 9783725802203
    Published: MDPI - Multidisciplinary Digital Publishing Institute 2024
    “… “Advanced Mathematical Modeling and Numerical Solutions in Applied Mechanics and Engineering…”
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    eBook
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    Comparison of elements and state-variable transfer methods for quasi-incompressible material behaviour in the particle finite element method by Schewe, Markus, Bartel, Thorsten, Menzel, Andreas

    ISSN: 0178-7675, 1432-0924, 1432-0924
    Published: Berlin/Heidelberg Springer Berlin Heidelberg 01.02.2025
    Published in Computational mechanics (01.02.2025)
    “…The Particle Finite Element Method (PFEM) is attractive for the simulation of large deformation problems, e.g…”
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    Journal Article
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    A new unified arc-length method for damage mechanics problems by Saji, Roshan Philip, Pantidis, Panos, Mobasher, Mostafa E.

    ISSN: 0178-7675, 1432-0924
    Published: Berlin/Heidelberg Springer Berlin Heidelberg 01.12.2024
    Published in Computational mechanics (01.12.2024)
    “…The numerical solution of continuum damage mechanics (CDM) problems suffers from convergence-related challenges during the material softening stage…”
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    Journal Article
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    Particle finite element method implementation for large deformation analysis using Abaqus by Yuan, Wei-Hai, Wang, Hao-Cheng, Zhang, Wei, Dai, Bei-Bing, Liu, Kang, Wang, Yuan

    ISSN: 1861-1125, 1861-1133
    Published: Berlin/Heidelberg Springer Berlin Heidelberg 01.08.2021
    Published in Acta geotechnica (01.08.2021)
    “…In this study, a simple PFEM approach for analyzing large deformation problems in geotechnical practice is implemented in the commercial FEM package Abaqus…”
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    Journal Article
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    The complex variable reproducing kernel particle method for bending problems of thin plates on elastic foundations by Chen, L., Cheng, Y. M.

    ISSN: 0178-7675, 1432-0924
    Published: Berlin/Heidelberg Springer Berlin Heidelberg 01.07.2018
    Published in Computational mechanics (01.07.2018)
    “…In this paper, the complex variable reproducing kernel particle method (CVRKPM) for solving the bending problems of isotropic thin plates on elastic foundations is presented…”
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    Journal Article
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    Heat and mass transfer in MHD flow of SWCNT and graphene nanoparticles suspension in Casson fluid by Oke, Abayomi Samuel, Juma, Belindar Atieno, Reddy, Gurrampati Venkatta Ramana

    ISSN: 0044-2267, 1521-4001
    Published: Weinheim Wiley Subscription Services, Inc 01.12.2024
    “… solutions for personal safety. This study focuses on the complex phenomena of heat and mass transport within a suspension of CNTs and graphene…”
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    Journal Article
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    An implicit coupled MPM formulation for static and dynamic simulation of saturated soils based on a hybrid method by Sang, Qin-yang, Xiong, Yong-lin, Zheng, Rong-yue, Bao, Xiao-hua, Ye, Guan-lin, Zhang, Feng

    ISSN: 0178-7675, 1432-0924
    Published: Berlin/Heidelberg Springer Berlin Heidelberg 01.03.2025
    Published in Computational mechanics (01.03.2025)
    “…The paper presents a refined implicit two-phase coupled Material Point Method (MPM) designed to model poromechanics problems under static and dynamic conditions with stability and robustness…”
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    Journal Article
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    General solutions of plane problem in one-dimensional quasicrystal piezoelectric materials and its application on fracture mechanics by Yu, Jing, Guo, Junhong, Pan, Ernian, Xing, Yongming

    ISSN: 0253-4827, 1573-2754
    Published: Shanghai Shanghai University 01.06.2015
    Published in Applied mathematics and mechanics (01.06.2015)
    “… The general solutions of the piezoelasticity problem for these QCs are derived by the opera- tor method and the complex variable function method…”
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    Journal Article
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    Degenerate scales for thin elastic plates with Dirichlet boundary conditions by Corfdir, Alain, Bonnet, Guy

    ISSN: 0001-5970, 1619-6937
    Published: Vienna Springer Vienna 01.04.2023
    Published in Acta mechanica (01.04.2023)
    “…A degenerate scale occurs when a loss of uniqueness of the solution of the boundary integral equations happens for that scale of the problem…”
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    Journal Article
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    Analyzing elastoplastic large deformation problems with the complex variable element-free Galerkin method by Li, D. M., Liew, K. M., Cheng, Y. M.

    ISSN: 0178-7675, 1432-0924
    Published: Berlin/Heidelberg Springer Berlin Heidelberg 01.06.2014
    Published in Computational mechanics (01.06.2014)
    “…Using the complex variable moving least-squares (CVMLS) approximation, a complex variable element-free Galerkin (CVEFG…”
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    Journal Article
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    An adaptive wavelet-based collocation method for solving multiscale problems in continuum mechanics by Kaiser, Tobias, Remmers, Joris J. C., Geers, Marc G. D.

    ISSN: 0178-7675, 1432-0924
    Published: Berlin/Heidelberg Springer Berlin Heidelberg 01.12.2022
    Published in Computational mechanics (01.12.2022)
    “…Computational multiscale methods are highly sophisticated numerical approaches to predict the constitutive response of heterogeneous materials from their underlying microstructures…”
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    Journal Article
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    Higher order approximation to the Hill problem dynamics about the libration points by Lara, Martin, Pérez, Iván L., López, Rosario

    ISSN: 1007-5704, 1878-7274
    Published: Amsterdam Elsevier B.V 01.06.2018
    “…, the normalization is approached in complex variables. The validity of the solution extends to energy values considerably far away from that of the libration points and, therefore, can be used in the computation of Halo orbits as an alternative to the classical Lindstedt–Poincaré approach. Furthermore, the theory correctly predicts the existence of the two-lane bridge of periodic orbits linking the families of planar and vertical Lyapunov orbits…”
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    Journal Article
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    Analytical study of the effect of complex fluid rheology and membrane parameters on heat transfer in fluid flow through a swarm of cylindrical particles by Saini, Amit Kumar, Chauhan, Satyendra Singh, Tiwari, Ashish

    ISSN: 0735-1933
    Published: Elsevier Ltd 01.11.2024
    “… The structure of the proposed research is configured so that fluid flow near the solid core of the cylindrical particle is governed by the Brinkman-Forchheimer equation with variable permeability…”
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    Journal Article
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    Functional entropy variables: A new methodology for deriving thermodynamically consistent algorithms for complex fluids, with particular reference to the isothermal Navier–Stokes–Korteweg equations by Liu, Ju, Gomez, Hector, Evans, John A., Hughes, Thomas J.R., Landis, Chad M.

    ISSN: 0021-9991, 1090-2716
    Published: United States Elsevier Inc 01.09.2013
    Published in Journal of computational physics (01.09.2013)
    “…–Stokes–Korteweg equations. Our methodology is based on a semi-discrete Galerkin method invoking functional entropy variables, a generalization of classical entropy variables, and a new time integration scheme…”
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    Journal Article
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    A novel hybrid technique to decompose in-plane thermoelastic displacement fields into thermal and structural displacement fields by Thube, Yogesh S., Gotkhindi, Tejas P.

    ISSN: 0001-5970, 1619-6937
    Published: Vienna Springer Vienna 01.09.2022
    Published in Acta mechanica (01.09.2022)
    “…—coupling a low-fidelity FEM and an analytical technique formulated using complex variables…”
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    Journal Article
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    Robust, strong form mechanics on an adaptive structured grid: efficiently solving variable-geometry near-singular problems with diffuse interfaces by Agrawal, Vinamra, Runnels, Brandon

    ISSN: 0178-7675, 1432-0924
    Published: Berlin/Heidelberg Springer Berlin Heidelberg 01.11.2023
    Published in Computational mechanics (01.11.2023)
    “…Many solid mechanics problems on complex geometries are conventionally solved using discrete boundary methods…”
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    Journal Article