网格自适应，多层网格法，油藏数值模拟，大规模数值模拟

   

070102-计算数学

2002-07--2007-07   马里兰大学   博士
1999-09--2002-06   南京大学   硕士

   

2007-07~2011-01,宾州州立大学, Research Assistant Professor

大规模方程组求解器前沿选讲
多层迭代法
宾州州立-北大偏微分方程数值解
数值分析
数值优化方法

   

[1] Zhao, Li, Li, Shizhe, Zhang, ChenSong, Feng, ChunSheng, Shu, Shi. An Improved Multi-Stage Preconditioner on GPUs for Compositional Reservoir Simulation. CCF Transactions on High Performance Computing[J]. 2023, 5: 144-159, [2] Huilan Zeng, ChenSong Zhang, Shuo Zhang. On the existence of locally-defined projective interpolations. APPLIED MATHEMATICS LETTERS. 2023, 146: http://dx.doi.org/10.1016/j.aml.2023.108789.
[3] Zhao, Li, Feng, Chunsheng, Zhang, Chensong, Shu, Shi. Parallel Multi-Stage Preconditioners with Adaptive Setup for the Black Oil Model. Computers & Geosciences[J]. 2022, http://arxiv.org/abs/2201.01970.
[4] Xu, Xuefeng, Zhang, ChenSong. CONVERGENCE ANALYSIS OF INEXACT TWO-GRID METHODS: A THEORETICAL FRAMEWORK. SIAM JOURNAL ON NUMERICAL ANALYSIS[J]. 2022, 60(1): 133-156, http://dx.doi.org/10.1137/20M1356075.
[5] 张晨松. 油藏数值模拟中的线性解法器. 数值计算与计算机应用[J]. 2022, 43(1): 1-26, http://lib.cqvip.com/Qikan/Article/Detail?id=7106785916.
[6] Huilan Zeng, Chensong Zhang, 张硕. A low-degree strictly conservative finite element method for incompressible flows on general triangulations. SMAI Journal of Computational Mathematics[J]. 2022, 8: 225-248, [7] Xuefeng Xu, 张晨松. A new analytical framework for the convergence of inexact two-grid methods. SIAM Journal on Matrix Analysis and Applications[J]. 2022, 43: 512-533, [8] Zeng, Huilan, Zhang, ChenSong, Zhang, Shuo. Optimal quadratic element on rectangular grids for H-1 problems. BIT NUMERICAL MATHEMATICS[J]. 2021, 61(2): 665-689, http://dx.doi.org/10.1007/s10543-020-00821-4.
[9] Sun, Pengtao, Zhang, ChenSong, Lan, Rihui, Li, Lin. An advanced ALE-mixed finite element method for a cardiovascular fluid-structure interaction problem with multiple moving interfaces. JOURNAL OF COMPUTATIONAL SCIENCE[J]. 2021, 50: http://dx.doi.org/10.1016/j.jocs.2021.101300.
[10] Zeng, Huilan, Zhang, ChenSong, Zhang, Shuo. Optimal quadratic element on rectangular grids for H-1 problems. BIT NUMERICAL MATHEMATICS[J]. 2020, 25-, [11] Pengtao Sun, ChenSong Zhang, Rihui Lan, Lin Li. Monolithic Arbitrary Lagrangian–Eulerian Finite Element Method for a Multi-domain Blood Flow–Aortic Wall Interaction Problem. COMPUTATIONAL SCIENCE – ICCS 2020[J]. 2020, 12143: 60-74, https://www.ncbi.nlm.nih.gov/pmc/articles/PMC7304730/.
[12] Philippe Devloo, Wenchao Teng, ChenSong Zhang. Multiscale Hybrid-Mixed Finite Element Method for Flow Simulation in Fractured Porous Media. 工程与科学中的计算机建模(英文)[J]. 2019, 145-163, http://lib.cqvip.com/Qikan/Article/Detail?id=7100518722.
[13] Yuan, Tao, Wei, Chenji, Zhang, ChenSong, Qin, Guan. A Numerical Simulator for Modeling the Coupling Processes of Subsurface Fluid Flow and Reactive Transport Processes in Fractured Carbonate Rocks. WATER[J]. 2019, 11(10): http://dx.doi.org/10.3390/w11101957.
[14] Xu, Xuefeng, Zhang, ChenSong. A new estimate for a quantity involving the Chebyshev polynomials of the first kind. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS[J]. 2019, 476(2): 302-308, http://ir.amss.ac.cn/handle/2S8OKBNM/34576, http://www.irgrid.ac.cn/handle/1471x/6870887, http://ir.amss.ac.cn/handle/2S8OKBNM/34577, http://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&KeyUT=WOS:000466259600003&DestLinkType=FullRecord&DestApp=ALL_WOS&UsrCustomerID=3a85505900f77cc629623c3f2907beab.
[15] Andrew Lundberg, Pengtao Sun, Cheng Wang, Chensong Zhang. Distributed Lagrange Multiplier/Fictitious Domain Finite Element Method for a Transient Stokes Interface Problem with Jump Coefficients. 工程与科学中的计算机建模(英文)[J]. 2019, 35-62, http://lib.cqvip.com/Qikan/Article/Detail?id=7100518717.
[16] Leng, Wei, Zhang, ChenSong, Sun, Pengtao, Gao, Bin, Xu, Jinchao. Numerical simulation of an immersed rotating structure in fluid for hemodynamic applications. JOURNAL OF COMPUTATIONAL SCIENCE[J]. 2019, 30: 79-89, http://ir.amss.ac.cn/handle/2S8OKBNM/32496.
[17] 李政, 吴淑红, 李巧云, 张晨松, 王宝华, 许进超, 赵颖. 精细油藏模拟的一种线性求解算法. 数值计算与计算机应用. 2018, [18] Xu, Xuefeng, Zhang, ChenSong. ON THE IDEAL INTERPOLATION OPERATOR IN ALGEBRAIC MULTIGRID METHODS. SIAM JOURNAL ON NUMERICAL ANALYSIS[J]. 2018, 56(3): 1693-1710, https://www.webofscience.com/wos/woscc/full-record/WOS:000437013900022.
[19] Sun, Pengtao, Leng, Wei, Zhang, ChenSong, Lan, Rihui, Xu, Jinchao, Shi, Y, Fu, H, Tian, Y, Krzhizhanovskaya, VV, Lees, MH, Dongarra, J, Sloot, PMA. ALE Method for a Rotating Structure Immersed in the Fluid and Its Application to the Artificial Heart Pump in Hemodynamics. COMPUTATIONAL SCIENCE - ICCS 2018, PT IIInull. 2018, 10862: 9-23, [20] Qiao, Changhe, Wu, Shuhong, Xu, Jinchao, Zhang, ChenSong. Analytical decoupling techniques for fully implicit reservoir simulation. JOURNAL OF COMPUTATIONAL PHYSICS[J]. 2017, 336: 664-681, http://dx.doi.org/10.1016/j.jcp.2017.02.037.
[21] Xu, Xuefeng, Zhang, ChenSong. New perturbation bounds for the spectrum of a normal matrix. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS[J]. 2017, 455(2): 1937-1955, http://dx.doi.org/10.1016/j.jmaa.2017.06.051.
[22] Cui, Tao, Xu, Jinchao, Zhang, ChenSong. An error-resilient redundant subspace correction method. COMPUTING AND VISUALIZATION IN SCIENCE[J]. 2017, 18(2-3): 65-77, [23] Li, Zheng, Wu, Shuhong, Zhang, ChenSong, Xu, Jinchao, Feng, Chunsheng, Hu, Xiaozhe. Numerical studies of a class of linear solvers for fine-scale petroleum reservoir simulation. COMPUTING AND VISUALIZATION IN SCIENCE[J]. 2017, 18(2-3): 93-102, [24] Lee, YoungJu, Leng, Wei, Zhang, ChenSong. A stable and scalable hybrid solver for rate-type non-Newtonian fluid models. JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS[J]. 2016, 300: 103-118, http://dx.doi.org/10.1016/j.cam.2015.12.026.
[25] Li, Zheng, Wu, Shuhong, Xu, Jinchao, Zhang, Chensong. Toward Cost-Effective Reservoir Simulation Solvers on GPUs. ADVANCES IN APPLIED MATHEMATICS AND MECHANICS[J]. 2016, 8(6): 971-991, https://www.webofscience.com/wos/woscc/full-record/WOS:000384414300005.
[26] Huang, Feiteng, Xie, Xiaoping, Zhang, Chensong. AN ADAPTIVE HYBRID STRESS TRANSITION QUADRILATERAL FINITE ELEMENT METHOD FOR LINEAR ELASTICITY. JOURNAL OF COMPUTATIONAL MATHEMATICS[J]. 2016, 34(4): 339-364, http://lib.cqvip.com/Qikan/Article/Detail?id=669535656.
[27] 李政, 冯春生, 张晨松. 一种针对gpu上的油藏数值模拟的高效spmv. 数值计算与计算机应用[J]. 2016, 37(4): 315-, http://ir.amss.ac.cn/handle/2S8OKBNM/38545, http://www.irgrid.ac.cn/handle/1471x/6870993, http://ir.amss.ac.cn/handle/2S8OKBNM/38546.
[28] Wu Shuhong, Xu Jinchao, Feng Chunsheng, Zhang ChenSong, Li Qiaoyun, Shu Shi, Wang Baohua, Li Xiaobo, Li Hua. A multilevel preconditioner and its shared memory implementation for a new generation reservoir simulator. PETROLEUM SCIENCE[J]. 2014, 11(4): 540-549, https://www.webofscience.com/wos/woscc/full-record/WOS:000343294200008.
[29] Feng, Chunsheng, Shu, Shi, Xu, Jinchao, Zhang, ChenSong. Numerical Study of Geometric Multigrid Methods on CPU-GPU Heterogeneous Computers. ADVANCES IN APPLIED MATHEMATICS AND MECHANICS[J]. 2014, 6(1): 1-23, https://www.webofscience.com/wos/woscc/full-record/WOS:000334928400001.
[30] Hu, Xiaozhe, Lee, YoungJu, Xu, Jinchao, Zhang, ChenSong. On Adaptive Eulerian-Lagrangian Method for Linear Convection-Diffusion Problems. JOURNAL OF SCIENTIFIC COMPUTING[J]. 2014, 58(1): 90-114, https://www.webofscience.com/wos/woscc/full-record/WOS:000329240400005.
[31] Feng Chunsheng, Shu Shi, Xu Jinchao, Zhang ChenSong, Erhel J, Gander MJ, Halpern L, Pichot G, Sassi T, Widlund O. A Multi-Stage Preconditioner for the Black Oil Model and Its OpenMP Implementation. DOMAIN DECOMPOSITION METHODS IN SCIENCE AND ENGINEERING XXInull. 2014, 98: 141-153, [32] ChenSong Zhang. Numerical study of geometric multigrid on CPU–GPU heterogenous computers. Advances in Applied Mathematics and Mechanics. 2014, [33] Hu, Xiaozhe, Wu, Shuhong, Wu, XiaoHui, Xu, Jinchao, Zhang, ChenSong, Zhang, Shiquan, Zikatanov, Ludmil. COMBINED PRECONDITIONING WITH APPLICATIONS IN RESERVOIR SIMULATION. MULTISCALE MODELING & SIMULATION[J]. 2013, 11(2): 507-521, https://www.webofscience.com/wos/woscc/full-record/WOS:000321038600004.
[34] Hu XiaoZhe, Xu JinChao, Zhang ChenSong. Application of auxiliary space preconditioning in field-scale reservoir simulation. SCIENCE CHINA-MATHEMATICS[J]. 2013, 56(12): 2737-2751, http://ir.amss.ac.cn/handle/2S8OKBNM/46572, http://www.irgrid.ac.cn/handle/1471x/6871143, http://ir.amss.ac.cn/handle/2S8OKBNM/46573.
[35] ChenSong Zhang. On adaptive Eulerian--Lagrangian method for linear convection-diffusion problems. Journal of Scientic Computing. 2013, [36] ChenSong Zhang. Application of an energy-minimizing algebraic multigrid method for subsurface water simulation. International Journal of Numerical Analysis and Modeling. 2013, [37] 张晨松. 流体计算中的多层迭代法研究. 2013, http://kns.cnki.net/KCMS/detail/detail.aspx?QueryID=0&CurRec=1055&recid=&FileName=YWJS201308001007&DbName=CPFD0914&DbCode=CPFD&yx=&pr=&URLID=&bsm=.
[38] Young-Ju Lee, Jinchao Xu, Chen-Song Zhang. Stable Finite Element Discretizations for Viscoelastic Flow Models. HANDBOOK OF NUMERICAL ANALYSIS. 2011, 16: 371-432, http://dx.doi.org/10.1016/B978-0-444-53047-9.00004-6.
[39] Jiwei Jia, Xiaozhe Hu, Jinchao Xu, Chen-Song Zhang. EFFECTS OF INTEGRATIONS AND ADAPTIVITY FOR THE EULERIAN-LAGRANGIAN METHOD. 计算数学：英文版[J]. 2011, 29(4): 367-395, http://lib.cqvip.com/Qikan/Article/Detail?id=38953238.
[40] ChenSong Zhang. On the global existence and uniqueness of solutions to discretized viscoelastic flow models. Mathematical Models and Methods in Applied Sciences. 2011, [41] Nochetto, Ricardo H, von Petersdorff, Tobias, Zhang, ChenSong. A posteriori error analysis for a class of integral equations and variational inequalities. NUMERISCHE MATHEMATIK[J]. 2010, 116(3): 519-552, https://www.webofscience.com/wos/woscc/full-record/WOS:000281397600007.
[42] Chen, Long, Zhang, Chensong. A COARSENING ALGORITHM ON ADAPTIVE GRIDS BY NEWEST VERTEX BISECTION AND ITS APPLICATIONS. JOURNAL OF COMPUTATIONAL MATHEMATICS[J]. 2010, 28(6): 767-789, http://lib.cqvip.com/Qikan/Article/Detail?id=36154588.
[43] Moon, KyoungSook, Nochetto, Ricardo H, von Petersdorff, Tobias, Zhang, ChenSong. A posteriori error analysis for parabolic variational inequalities. ESAIM-MATHEMATICAL MODELLING AND NUMERICAL ANALYSIS-MODELISATION MATHEMATIQUE ET ANALYSE NUMERIQUE[J]. 2007, 41(3): 485-511, https://www.webofscience.com/wos/woscc/full-record/WOS:000248569300003.

（1） 变分不等式的自适应方法：理论及其在期权定价问题中的应用, Adaptive methods for variational inequalities: theory and applications in option pricing, Lambert Academic Publishing, 2010-07, 第 1 作者

   

（ 1 ） 大规模油藏数值模拟线性代数求解器算法研究, 参与, 其他任务, 2011-01--2014-12
（ 2 ） 高效能计算应用支撑软件框架体系研制, 参与, 国家任务, 2012-01--2015-12
（ 3 ） 大规模离散系统并行多层迭代法及其软件研制, 参与, 国家任务, 2012-01--2014-12
（ 4 ） 人工心脏流固耦合问题的并行数值模拟算法与应用, 参与, 国家任务, 2015-01--2018-12
（ 5 ） 组分模型的并行求解算法研究, 负责人, 中国科学院计划, 2016-01--2020-12
（ 6 ） E级高性能应用软件编程框架研制及应用示范, 参与, 国家任务, 2016-01--2020-12
（ 7 ） 偏微分方程组的代数多层迭代法, 负责人, 国家任务, 2020-01--2023-12
（ 8 ） 适应精密建模与隐式离散的百亿自由度线性可扩展数值并行算法研究, 负责人, 国家任务, 2019-09--2020-12
（ 9 ） 集成电路设计自动化(EDA)中的创新数学理论和方法, 参与, 国家任务, 2021-01--2025-12

已指导学生

徐雪枫  博士研究生  070102-计算数学  

曾慧兰  博士研究生  070102-计算数学  

现指导学生

戴斌  硕士研究生  070102-计算数学  

谢炎  硕士研究生  070102-计算数学  

李仕哲  博士研究生  070102-计算数学