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An Augmented Lagrangian Uzawa IterativeMethod for Solving Double Saddle-Point Systems with Semidefinite(2,2)Block and its Application to DLM/FDMethod for Elliptic Interface Problems

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Communications in Computational Physics 2021年第6期30卷 124-143页

作者： Cheng Wang pengtao sun School of Mathematical Sciences Tongji UniversityShanghai 200092China Department of Mathematical Sciences University of Nevada Las Vegas4505Maryland ParkwayLas VegasNV 89154USA

.In this paper,an augmented Lagrangian Uzawa iterative method is developed and analyzed for solving a class of double saddle-point systems with semidefinite(2,2)*** of the iterativemethod is proved under the assumption that the double saddle-point problem exists a unique *** application of the iterative method to the double saddle-point systems arising from the distributed Lagrange multiplier/fictitious domain(DLM/FD)finite element method for solving elliptic interface problems is also presented,in which the existence and uniqueness of the double saddle-point system is guaranteed by the analysis of the DLM/FD finite element *** experiments are conducted to validate the theoretical results and to study the performance of the proposed iterative method.

关键词： Double saddle-point problem augmented Lagrangian Uzawa method elliptic interface problem distributed Lagrange multiplier/fictitious domain(DLM/FD)method

Phase Field Model of Thermo-Induced Marangoni Effects in the Mixtures and its Numerical Simulations with Mixed Finite Element Method

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Communications in Computational Physics 2009年第10期6卷 1095-1117页

作者： pengtao sun Chun Liu Jinchao Xu Department of Mathematical Sciences University of NevadaLas Vegas4505 Maryland ParkwayLas VegasNV 89154USA Department of Mathematics The Pennsylvania State UniversityUniversity ParkPA 16802USA

In this paper,we study the Marangoni effects in the mixture of two Newtonian fluids due to the thermo-induced surface tension heterogeneity on the *** employ an energetic variational phase field model to describe its physical phenomena,and obtain the corresponding governing equations defined by a modi-fied Navier-Stokes equations coupled with phase field and energy transport.A mixed Taylor-Hood finite element discretization together with full Newton’s method are applied to this strongly nonlinear phase field model on a specific *** different boundary conditions of temperature,the resulting numerical solutions illustrate that the thermal energy plays a fundamental role in the interfacial dynamics of two-phase *** particular,it gives rise to a dynamic interfacial tension that depends on the direction of temperature gradient,determining the movement of the interface along a sine/cosine-like curve.

关键词： Phase field Navier-Stokes equations Marangoni effects temperature dependent surface tension mixed Taylor-Hood finite element Newton’s method

Distributed Lagrange Multiplier/Fictitious Domain Finite Element Method for a Transient Stokes Interface Problem with Jump Coefficients

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Computer Modeling in Engineering & Sciences 2019年第4期119卷 35-62页

作者： Andrew Lundberg pengtao sun Cheng Wang Chen-song Zhang Department of Mathematical Sciences University of NevadaLas Vegas4505 Maryland ParkwayLas VegasNV 89154USA School of Mathematical Sciences Tongji UniversityShanghaiChina LSEC&NCMIS Academy of Mathematics and System ScienceBeijingChina

The distributed Lagrange multiplier/fictitious domain(DLM/FD)-mixed finite element method is developed and analyzed in this paper for a transient Stokes interface problem with jump *** semi-and fully discrete DLM/FD-mixed finite element scheme are developed for the first time for this problem with a moving interface,where the arbitrary Lagrangian-Eulerian(ALE)technique is employed to deal with the moving and immersed *** and optimal convergence properties are obtained for both *** experiments are carried out for different scenarios of jump coefficients,and all theoretical results are validated.

关键词： Transient Stokes interface problem jump coefficients distributed Lagrange multiplier fictitious domain method mixed finite element an optimal error estimate stability

Numerical Study of a 3D Two-Phase PEM Fuel Cell Model Via a Novel Automated Finite Element/Finite Volume Program Generator

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Communications in Computational Physics 2012年第1期11卷 65-98页

作者： pengtao sun Su Zhou Qiya Hu Guoping Liang Department of Mathematical Sciences University of NevadaLas Vegas4505Maryland ParkwayLas VegasNV 89154USA Department of Fuel Cell Power Systems Tongji University(Jiading campus)4800 Caoan RoadShanghai 201804China Institute of Computational Mathematics and Scientific Engineering Computing Chinese Academy of SciencesBeijing 100080China Institute of Mathematics Academy of Mathematics and Systems SciencesChinese Academy of SciencesBeijing 100080China.

Numerical methods of a 3D multiphysics,two-phase transport model of proton exchange membrane fuel cell(PEMFC)is studied in this *** to the coexistence of multiphase regions,the standard finite element/finite volume method may fail to obtain a convergent nonlinear iteration for a two-phase transport model of PEMFC[49,50].By introducing Kirchhoff transformation technique and a combined finite element-upwind finite volume approach,we efficiently achieve a fast convergence and reasonable solutions for this multiphase,multiphysics PEMFC *** implementation is done by using a novel automated finite element/finite volume programgenerator(FEPG).By virtue of a high-level algorithmdescription language(script),component programming and human intelligence technologies,FEPG can quickly generate finite element/finite volume source code for PEMFC ***,one can focus on the efficient algorithm research without being distracted by the tedious computer programming on finite element/finite volume *** success confirms that FEPG is an efficient tool for both algorithm research and software development of a 3D,multiphysics PEMFC model with multicomponent and multiphase mechanism.

关键词： Proton exchange membrane fuel cell two-phase transport Kirchhoff transformation finite element finite volume automated programgenerator algorithmdescription language script

Predict Blood Pressure by Photoplethysmogram with the Fluid-Structure Interaction Modeling

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Communications in Computational Physics 2022年第4期31卷 1114-1133页

作者： Jianhong Chen Wenrui Hao pengtao sun Lian Zhang Wilshire Advisors LLC Los AngelesCaliforniaUSA Department of Mathematics Pennsylvania State UniversityUniversity ParkPennsylvaniaUSA Department of Mathematical Sciences University of Nevada Las VegasLas VegasNevadaUSA In-Chao Institute Ltd ShenzhenChina

Blood pressure(BP)has been identified as one of the main factors in cardiovascular disease and other related *** how to accurately and conveniently measure BP is important to monitor BP and to prevent *** paper proposes an efficient BP measurement model by integrating a fluid-structure interaction model with the photoplethysmogram(PPG)signal and developing a data-driven computational approach to fit two optimization parameters in the proposedmodel for each *** developed BPmodel has been validated on a public BP dataset and has shown that the average prediction errors among the root mean square error(RMSE),the mean absolute error(MAE),the systolic blood pressure(SBP)error,and the diastolic blood pressure(DBP)error are all below 5mmHg for normal BP,stage I,and stage II hypertension groups,and,prediction accuracies of the SBP and the DBP are around 96%among those three groups.

关键词： Blood pressure prediction fluid-structure interaction PPG

Fast Numerical Simulation of Two-Phase Transport Model in the Cathode of a Polymer Electrolyte Fuel Cell

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Communications in Computational Physics 2009年第6期6卷 49-71页

作者： pengtao sun Guangri Xue Chaoyang Wang Jinchao Xu Department of Mathematical Sciences University of NevadaLas Vegas4505 Maryland ParkwayLas VegasNV 89154USA Department of Mathematics The Pennsylvania State UniversityUniversity ParkPA 16802USA Departments of Mechanical Engineering and Materials Science and Engineering Electrochemical Engine Center(ECEC)The Pennsylvania State UniversityUniversity ParkPA 16802USA Laboratory of Mathematics and Applied Mathematics School of Mathematical SciencesPeking UniversityBeijing 100871China

In this paper,we apply streamline-diffusion and Galerkin-least-squares fi-nite element methods for 2D steady-state two-phase model in the cathode of polymer electrolyte fuel cell(PEFC)that contains a gas channel and a gas diffusion layer(GDL).This two-phase PEFC model is typically modeled by a modified Navier-Stokes equation for the mass and momentum,with Darcy’s drag as an additional source term in momentum for flows through GDL,and a discontinuous and degenerate convectiondiffusion equation for water *** on the mixed finite element method for the modified Navier-Stokes equation and standard finite element method for water equation,we design streamline-diffusion and Galerkin-least-squares to overcome the dominant convection arising from the gas ***,we employ Kirchhoff transformation to deal with the discontinuous and degenerate diffusivity in water *** experiments demonstrate that our finite element methods,together with these numerical techniques,are able to get accurate physical solutions with fast convergence.

关键词： Two-phase model polymer electrolyte fuel cell Kirchhoff transformation convection dominated diffusion problem streamline diffusion Galerkin-least-squares

Fuzheng Kang'ai decoction(扶正抗癌方) inhibits cell proliferation,migration and invasion by modulating mir-21-5p/human phosphatase and tensin homology deleted on chromosome ten in lung cancer cells

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Journal of Traditional Chinese Medicine 2022年第3期42卷 344-352页

作者： LI Jinhua LIU Chunping ZHAO Yueyang WU Wanyin sun pengtao LI Longmei YANG Xiaobing ZHOU Yushu Department of Ultrasound Guangdong Provincial Hospital of Chinese Medicinethe Second Affiliated Hospital of Guangzhou University of Chinese MedicineGuangzhou 510120China Department of Ultrasound Institute of Ultrasound in Musculoskeletal Sports MedicineGuangdong Second Provincial General HospitalGuangzhou 510317China State Key Laboratory of Dampness Syndrome of Chinese Medicine Guangdong Provincial Hospital of Chinese MedicineThe Second Affiliated Hospital of Guangzhou University of Chinese MedicineGuangzhou 510120China Department of Hematology Guangdong Provincial Hospital of Chinese Medicinethe Second Affiliated Hospital of Guangzhou University of Chinese MedicineGuangzhou 510120China Department of Oncology Clinical and Basic Research Team of TCM Prevention and Treatment of NSCLCGuangdong Provincial Hospital of Chinese Medicinethe Second Affiliated Hospital of Guangzhou University of Chinese MedicineGuangzhou 510120China

OBJECTIVE:To elucidate the potential molecular mechanism by which Fuzheng Kang’ai decoction(扶正抗癌方,FZKA)inhibits proliferation,migration,and invasion of lung cancer ***:Varying FZKA concentrations were used to manage lung cancer cells(A549 and PC9).We employed:cell counting kit-8(CCK-8)and plate clone formation assays to examine the cell viability;flow cytometry(FCM)to analyze the cycle arrest;transwell and woundhealing assays to assess the cell invasion and migration,***,a quantitative real-time polymerase chain reaction(q RT-PCR)assay was adopted to evaluate the miR-21-5p *** protein expression analysis,we employed the Western blot *** miR-21-5p overexpression adenovirus vector harboring GFP was constructed and transfected into A549 and PC9,after which we explored the effect of FZKA on miR-21-5p ***:Notably,treatment with FZKA inhibited viability,clone-formation ability,invasion,and migration of lung cancer ***,FZKA markedly suppressed miR-21-5p expression but elevated the human phosphatase and tensin homology deleted on chromosome ten(PTEN)protein level in both A549 and PC9 ***-expression of miR-21-5p lowered PTEN protein ***,overexpressed miR-21-5p levels with adenovirus antagonized FZKA-upregulated PTEN protein ***:The present study demonstrates how FZKA modulates cell biological behaviors,for instance,it impedes the proliferation by upregulating PTEN expression with miR-21-5p as the *** findings unveil the potential novel molecular mechanisms from the micro RNA aspect by which FZKA suppresses the growth of human lung cancer cells.

关键词： lung neoplasms miR-21-5p PTEN phosphohydrolase Fuzheng Kang’ai decoction

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多孔介质双分子反应溶质运移实验与模拟研究

中国科学技术大学学报 2013年第2期43卷 104-109页

作者：钱家忠刘咏张勇孙澎涛合肥工业大学资源与环境工程学院安徽合肥230009 合肥工业大学生物与食品工程学院安徽合肥230009 沙漠研究所美国拉斯维加斯89119 内华达大学拉斯维加斯分校数学科学系美国拉斯维加斯89154

多孔介质中化学作用对溶质运移具有重要影响.为了揭示反应性溶质运移机理,保持多孔介质不变,以胺和1,2-萘醌-4-磺酸钠双分子化学反应为例,分别开展了非反应及反应条件下不同流速溶质运移实验和数值模拟研究.主要结论如下:①改进的反应... 详细信息

多孔介质中化学作用对溶质运移具有重要影响.为了揭示反应性溶质运移机理,保持多孔介质不变,以胺和1,2-萘醌-4-磺酸钠双分子化学反应为例,分别开展了非反应及反应条件下不同流速溶质运移实验和数值模拟研究.主要结论如下:①改进的反应性对流弥散模型能模拟双分子反应中溶质运移行为;模型可行,具有较高的精度;0.4mL/s和0.8mL/s流速下生成物峰值浓度相对误差分别为1.2%及0.8%.②利用对流弥散模型可以评估非反应物运移弥散系数,可为反应性溶质运移弥散系数识别提供技术参考.③随流量增大,模型参数m减小,而β0则增大;此外,同一物质在保持相同流量下,作为反应物出现时,其弥散系数略高于非反应物质的弥散系数,其作用机理有待进一步研究.

关键词：多孔介质双分子化学反应溶质运移弥散系数实验

风轮机叶片电磁散射特性的占比分析与解析模型的建立

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信号处理 2020年第3期36卷 337-344页

作者：何炜琨孙鹏涛刘昂中国民航大学天津市智能信号与图像处理重点实验室天津300300

针对风轮机叶片雷达散射截面积的变化特性,分析了风轮机叶片雷达散射截面积(Radar Cross Section,RCS)对其整体雷达散射特性占比情况,实现对叶片解析模型适用范围的选取。考虑了风轮机叶片旋转平面与雷达视线(Line of Sight,LOS)夹角、... 详细信息

针对风轮机叶片雷达散射截面积的变化特性,分析了风轮机叶片雷达散射截面积(Radar Cross Section,RCS)对其整体雷达散射特性占比情况,实现对叶片解析模型适用范围的选取。考虑了风轮机叶片旋转平面与雷达视线(Line of Sight,LOS)夹角、叶片材料、叶片几何形状等因素对风轮机散射特性的影响,运用UG软件对风轮机叶片进行三维建模,利用真实叶片与相应简化圆柱叶片电磁散射特性的差异构建高保真的风轮机真实叶片电磁散射特性的解析模型,实现风轮机叶片RCS的快速计算。最后将解析模型计算结果与实测数据进行对比,验证了论文给出的真实叶片电磁散射特性解析模型的有效性。

关键词：风轮机叶片雷达散射截面积解析模型