Search Results - variable density method

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  1. 1

    An hybrid finite volume–finite element method for variable density incompressible flows by Calgaro, Caterina, Creusé, Emmanuel, Goudon, Thierry

    ISSN: 0021-9991, 1090-2716
    Published: Amsterdam Elsevier Inc 20.04.2008
    Published in Journal of computational physics (20.04.2008)
    “…This paper is devoted to the numerical simulation of variable density incompressible flows, modeled by the Navier–Stokes system…”
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    Journal Article
  2. 2

    Double Optimization Design of the Formula Racing Car Frame Based on the Variable Density Method and the Joint Variable Method by Ma, Weiyang, Lu, Yanhui, Wang, Pengyu, Wang, Yongjia, Wang, Jiahao

    ISSN: 2076-3417, 2076-3417
    Published: Basel MDPI AG 01.09.2023
    Published in Applied sciences (01.09.2023)
    “… In this paper, based on the variable density method, the global topology optimization of the frame is carried out to obtain the distribution of the frame material, realize the efficient utilization…”
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  3. 3

    A potential energy conserving finite element method for turbulent variable density flow: Application to glacier-fjord circulation by Lundgren, Lukas, Helanow, Christian, Wiskandt, Jonathan, Koszalka, Inga Monika, Ahlkrona, Josefin

    ISSN: 0021-9991, 1090-2716
    Published: Elsevier Inc 15.07.2025
    Published in Journal of computational physics (15.07.2025)
    “… dynamics and ice-ocean interactions, among others. In particular, we introduce a consistent modification of the gravity force term which enhances conservation properties for Galerkin methods without strictly enforcing the divergence-free condition…”
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  4. 4

    Topology optimization of heat sink based on variable density method by Xie, Liyao, Zhang, Yan, Ge, Minghui, Zhao, Yulong

    ISSN: 2352-4847, 2352-4847
    Published: Elsevier Ltd 01.04.2022
    Published in Energy reports (01.04.2022)
    “…A topology optimization method based on the variable density method is used to optimize the design of the forced convection air heat sink structure, with minimum pressure drop as the optimization…”
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  5. 5

    Research on topology optimization and case application of power tunnel structure based on variable density method by Nan, Zhang, Haoyu, Cao, Gang, Tian, Haijun, Zhang, Hai, Shi, Junwei, Geng

    ISSN: 2045-2322, 2045-2322
    Published: London Nature Publishing Group UK 26.09.2025
    Published in Scientific reports (26.09.2025)
    “… and elastic moduli using the variable density method. The results indicate that the overall profile of the optimized power tunnel transforms from a straight-wall arch to a multi…”
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  6. 6

    Multi-material topology optimization based on multiple simp of variable density method by Wan, Changdong, Jiao, Hongyu, Lv, Liang, Lu, Chunyan

    ISSN: 1738-494X, 1976-3824
    Published: Seoul Korean Society of Mechanical Engineers 01.02.2024
    “… In this paper, a multiple solid isotropic material with penalization model (SIMP) of variable density method is proposed to solve the problem of multi-material topology optimization…”
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  7. 7

    Topology optimization of truncated cone insulator with graded permittivity using variable density method by Li, Wen-Dong, Li, Xiao-Ran, Guo, Bao-Hong, Wang, Chao, Liu, Zhe, Zhang, Guan-Jun

    ISSN: 1070-9878, 1558-4135
    Published: New York IEEE 01.02.2019
    “…) enhancement at the triple junctions. Firstly, a multi-objective topology optimization model is proposed using the variable density method…”
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  8. 8

    Optimization design of helical gear spoke structure based on variable density method by Li, Zhisheng, Shui, Jianfeng, Yang, Shufeng, Xu, Yuhao

    ISSN: 1742-6588, 1742-6596
    Published: Bristol IOP Publishing 01.07.2025
    Published in Journal of physics. Conference series (01.07.2025)
    “…A topology optimization of a reducer’s helical gear was performed using the variable density method, with element density as the design variable, compliance as the objective, and constraints on volume fraction and structural equilibrium…”
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  9. 9

    Topology optimization based on combined mechanical analysis and variable density method for casting structure by Zou, Hua, Yu, Saisai, Dai, Xiaochao, Hou, Xuezheng, Wang, Wenjing

    ISSN: 1537-6494, 1537-6532
    Published: Abingdon Taylor & Francis 16.02.2025
    “…In this study, a topology optimization method based on combined mechanical analysis and variable density is presented for a large-scale casting structure with complex thin-walled structures…”
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  10. 10

    Lightweight design of prosthetic knee joint based on variable density method by Tong, Xiangbin, Peng, Bo, Yi, Hang, Su, Liang, Peng, Ruitao

    ISSN: 1742-6588, 1742-6596
    Published: Bristol IOP Publishing 01.06.2024
    Published in Journal of physics. Conference series (01.06.2024)
    “…The variable density method has emerged as an efficient approach for tackling the topology optimization challenge in continuous structures…”
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  11. 11

    Lightweight design of composite sandwich corrugated structures based on variable density method by Tian, Ce, Tian, Zhimin, Cao, Xinwei, Dong, Shangwei

    ISSN: 1742-6588, 1742-6596
    Published: Bristol IOP Publishing 01.07.2024
    Published in Journal of physics. Conference series (01.07.2024)
    “…For the lightweight design of composite sandwich corrugated structures, a new topology optimization design scheme is proposed using the variable density method…”
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  12. 12

    A variable-density fictitious domain method for particulate flows with broad range of particle–fluid density ratios by Apte, Sourabh V., Finn, Justin R.

    ISSN: 0021-9991, 1090-2716
    Published: Elsevier Inc 15.06.2013
    Published in Journal of computational physics (15.06.2013)
    “… The approach is based on a fictitious domain method wherein the entire particle–fluid domain is assumed to be an incompressible fluid but with variable density…”
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  13. 13

    Design of the Superconducting Main Magnet Based on Variable Density Method in Cylindrical MRI Scanner by Qu, Hongyi, Wang, Lei, Wang, Yaohui, Qin, Lang, Wang, Qiuliang

    ISSN: 1051-8223, 1558-2515
    Published: New York IEEE 01.06.2020
    “… In this paper, imitating the variable density method (VDM), one of the topology optimization methods originated from mechanics…”
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  14. 14

    Structural design of stamping die of advanced high-strength steel part for automobile based on topology optimization with variable density method by Xu, Teng, Wu, Hongxing, Xue, Fei, Guo, Jianwen, Ran, Jiaqi, Gong, Feng

    ISSN: 0268-3768, 1433-3015
    Published: London Springer London 01.08.2022
    “…Advanced high-strength steel is widely used in automobile production and manufacturing, for its advantages of light weight, high strength, and good…”
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  15. 15

    Topology Optimization of Hydrodynamic Body Shape for Drag Reduction in Low Reynolds Number Based on Variable Density Method by Zhao, Ning, Zhang, Jianyu, Han, Haitao, Miao, Yongzhuang, Deng, Yongbo

    ISSN: 2076-3417, 2076-3417
    Published: Basel MDPI AG 01.04.2023
    Published in Applied sciences (01.04.2023)
    “…This paper presents a variable density topology optimization method to numerically investigate the optimal drag-reduction shape of objects in the two-dimensional and three-dimensional flows…”
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  16. 16

    A Conservative Adaptive Projection Method for the Variable Density Incompressible Navier–Stokes Equations by Almgren, Ann S., Bell, John B., Colella, Phillip, Howell, Louis H., Welcome, Michael L.

    ISSN: 0021-9991, 1090-2716
    Published: Elsevier Inc 01.05.1998
    Published in Journal of computational physics (01.05.1998)
    “…In this paper we present a method for solving the equations governing time-dependent, variable density incompressible flow in two or three dimensions on an adaptive hierarchy of grids…”
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  17. 17

    Topological optimization design of SLM additive manufactured unmanned aerial vehicle bearing joint structure based on variable density method by Shuaichao YUAN, Jianfeng WANG, Yuhang DUAN, Lujing HAO, Xiaohong ZHAN

    ISSN: 2095-9389
    Published: Science Press 01.01.2025
    Published in 工程科学学报 (01.01.2025)
    “… The design was verified against the material’s maximum permissible stress criterion. The study then employed topology optimization, using the variable density method aimed at minimizing stress, to optimize the joint structure while retaining 40…”
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  18. 18

    A pressure-correction and bound-preserving discretization of the phase-field method for variable density two-phase flows by Liu, Chen, Ray, Deep, Thiele, Christopher, Lin, Lu, Riviere, Beatrice

    ISSN: 0021-9991, 1090-2716
    Published: Cambridge Elsevier Inc 15.01.2022
    Published in Journal of computational physics (15.01.2022)
    “…•Scalable discretization of the coupled Navier-Stokes and Cahn-Hilliard equations with variable density…”
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  19. 19

    RESEARCH ON POST-PROCESSING METHOD OF CONTINUUM STRUCTURE TOPOLOGY OPTIMIZATION BASED ON VARIABLE DENSITY METHOD by ZHANG GuoFeng, XU Lei, WANG Xin, XIAO NaiXin

    ISSN: 1001-9669
    Published: Editorial Office of Journal of Mechanical Strength 01.01.2022
    Published in Ji xie qiang du (01.01.2022)
    “…The variable density method has become an effective method to solve the topology optimization problem of continuum structure due to its advantages such as few design variables and high efficiency…”
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  20. 20

    Immersed Boundary Method for Variable Viscosity and Variable Density Problems Using Fast Constant-Coefficient Linear Solvers I: Numerical Method and Results by Fai, Thomas G., Griffith, Boyce E., Mori, Yoichiro, Peskin, Charles S.

    ISSN: 1064-8275, 1095-7197
    Published: Philadelphia Society for Industrial and Applied Mathematics 01.01.2013
    Published in SIAM journal on scientific computing (01.01.2013)
    “…We present a general variable viscosity and variable density immersed boundary method that is first-order accurate in the variable density case and, for problems possessing sufficient regularity…”
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