大地工程與科學計算研究室 

主持教授:顧承宇 特聘教授/總務長 國立臺灣海洋大學

Professor Cheng-Yu Ku

主要經歷 (ACADEMIC POSITIONS)

國立臺灣海洋大學 總務長 (2020/08~)

Vice President for General Affairs, National Taiwan Ocean University

國立臺灣海洋大學 河海工程學系(所) 特聘教授 (2019/08~)

Distinguished Professor, Department of Harbor and River Engineering, National Taiwan Ocean University

經濟部標準檢驗局離岸風力發電場技術審查委員(2020/06~)

Technical committee of offshore wind power, Bureau of Standards, Metrology & Inspection, Ministry of Economic Affairs, R.O.C.  (2020/06~)

科技部自然司防災學門專題研究計畫複審委員 (2019/01~2021/12)

Review Board, Department of Natural Sciences and Sustainable Development, Ministry of Science and Technology, R.O.C.

考試院考選部國家考試命題與閱卷委員 (2018年)

National committee, Ministry of Examination, R.O.C. (2018)

國立臺灣海洋大學 河海工程學系(所) 教授 (2014/8~)

Professor, Department of Harbor and River Engineering, National Taiwan Ocean University

國立臺灣海洋大學  地球科學研究所 合聘教授

Professor,  Institute of Applied Geosciences, National Taiwan Ocean University

國立臺灣海洋大學職業安全衛生中心 主任 (2018/8~)

Director, Center for Occupational Safety and Health, National Taiwan Ocean University (2018/8~)

國立臺灣海洋大學校工學院教師評審委員會委員(2018/8~2019/7)

The Faculty Promotion and Evaluation Committee, Engineering School, National Taiwan Ocean University (2015/8~2016/7)

國立臺灣海洋大學校教師評審委員會委員(2015/8~2016/7)

The Faculty Promotion and Evaluation Committee, National Taiwan Ocean University (2015/8~2016/7)

國立臺灣海洋大學河海工程系 副系主任(2013/3~2015/7)

Associate chairperson, Department of Harbor and River Engineering, National Taiwan Ocean University (2013/3~2015/7)

國立臺灣海洋大學 工學院 計算與模擬中心 主任(2011/1~2016/12)

Director, Computation and Simulation Center, National Taiwan Ocean University

國立臺灣海洋大學河海工程系 副教授(2011/7~2014/8)

Associate professor, Department of Harbor and River Engineering, National Taiwan Ocean University (2011/7~2014/8)

國立臺灣海洋大學河海工程系 助理教授(2008/8~2011/7)

Assistant professor, Department of Harbor and River Engineering, National Taiwan Ocean University (2008/8~2011/7)

專業經歷 (PROFESSIONAL AFFILIATIONS)

甲種職業安全衛生業務主管 (證書, 2018 10~)

Occupational safety and health affair managers (2018 10~)

國際岩石力學學會(ISRM)不連續變形分析法技術委員(2011~2015)

International Society for Rock Mechanics(ISRM) Commission on Discontinuous Deformation Analysis (20112015)

中華民國國家教育研究院 土木工程名詞審譯委員會大地領域審譯委員

National committee of geotechnical terms in civil engineering, National Academy for Educational Research, R.O.C. (2015)

中華民國經濟部標準檢驗局 環境保護國家標準技術委員會委員(2013~2015)

Technical committee of environmental protection, Bureau of Standards, Metrology & Inspection, Ministry of Economic Affairs, R.O.C. (20132015)

中華民國經濟部標準檢驗局 土木工程及建築國家標準技術委員會委員(2012~2013)

Technical committee of civil engineering, Bureau of Standards, Metrology & Inspection, Ministry of Economic Affairs, R.O.C.  (20122013)

中華民國大地工程學會第十屆技術委員會副主任委員(2015/5~2017/3)

中華民國大地工程學會第十屆會務規劃及會員委員會委員(2015/5~2017/3)

中華民國大地工程學會 第九屆理事

中華民國大地工程學會第八屆會務規劃及會員委員會主任委員

2011 年國際計算與實驗工程科學研討會(ICCES MM)科技委員

中華民國大地工程學會第七屆教育委員會委員

第十四屆大地工程學術研討會執行委員會委員

財團法人中興工程顧問社 工程師, 研究員, 高級研究員兼組長(1993/6~2008/7)

學歷 (Education/Degrees)

美國賓州匹茲堡大學土木工程暨環境工程研究所 博士 (2002)

Ph.D., Civil and Environmental Engineering, University of Pittsburgh, U. S. A.

國立臺灣大學土木工程研究所 碩士 (1991)

Master in Civil Engineering, National Taiwan University,Taiwan

教師研究室

國立臺灣海洋大學 河海工程二館   HRE2 508

研究生研究室

國立臺灣海洋大學 河海工程二館   HRE2 514

20224 基隆市中正區北寧路2

E-mail: chkst26@mail.ntou.edu.tw

Tel: (02)2462-2192 ext. 6109 (研究室)

發佈日期: 作者: admin | 在〈Geoengineering & Scientific Computation Lab〉中留言功能已關閉

本研究室獲國科會100年度優秀年輕學者計畫獎勵

本研究室顧承宇老師獲國科會100年度優秀年輕學者計畫獎勵, 為期三年.

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世界大學排名 海大擠進前400名

世界大學排名,國立台灣海洋大學首度擠進四○○大!英國《泰晤士報》高等教育特刊(Times Higher Education)日前公布二○一一至二○一二年世界大學排行榜調查報告,海洋大學排名在三五一到四○○名之間。]]>

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Scopus preview of Prof. Cheng-Yu Ku

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Solving Transient Groundwater Inverse Problems Using Space–Time Collocation Trefftz Method

Abstract

This paper presents a space–time meshfree method for solving transient inverse problems in subsurface flow. Based on the transient groundwater equation, we derived the Trefftz basis functions utilizing the method of separation of variables. Due to the basis functions completely satisfying the equation to be solved, collocation points are placed on the space–time boundaries. Numerical solutions are approximated based on the superposition theorem. Accordingly, the initial and boundary conditions are both regarded as space–time boundary conditions. Forward and inverse examples are conducted to validate the proposed approach. Emphasis is placed on the two-dimensional boundary detection problem in which the nonlinearity is solved using the fictitious time integration method. Results demonstrate that approximations with high accuracy are acquired in which the boundary data on the absent boundary may be efficiently recovered even when inaccessible partial data are provided. View Full-Text

Keywords: Trefftz basis functionsinverse problemsboundary detection problemstransientmeshfree method

Abstract: https://www.mdpi.com/2073-4441/12/12/3580
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Multiquadrics without the Shape Parameter for Solving Partial Di fferential Equations

Abstract: In this article, we present multiquadric radial basis functions (RBFs), including multiquadric (MQ) and inverse multiquadric (IMQ) functions, without the shape parameter for solving partial differential equations using the fictitious source collocation scheme. Different from the conventional collocation method that assigns the RBF at each center point coinciding with an interior point, we separated the center points from the interior points, in which the center points were regarded as the fictitious sources collocated outside the domain. The interior, boundary, and source points were therefore collocated within, on, and outside the domain, respectively. Since the radial distance between the interior point and the source point was always greater than zero, the MQ and IMQ RBFs and their derivatives in the governing equation were smooth and globally infinitely differentiable. Accordingly, the shape parameter was no longer required in the MQ and IMQ RBFs. Numerical examples with the domain in symmetry and asymmetry are presented to verify the accuracy and robustness of the proposed method. The results demonstrated that the proposed method using MQ RBFs without the shape parameter acquires more accurate results than the conventional RBF collocation method with the optimum shape parameter. Additionally, it was found that the locations of the fictitious sources were not sensitive to the accuracy. Keywords: shape parameter; multiquadric; radial basis function; fictitious source point; meshless method Full paper download : https://www.mdpi.com/2073-8994/12/11/1813 Abstract: https://www.mdpi.com/2073-8994/12/11/1813 HTML Version: https://www.mdpi.com/2073-8994/12/11/1813/htm PDF Version: https://www.mdpi.com/2073-8994/12/11/1813/pdf]]>

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A collocation method with space–time radial polynomials for inverse heat conduction problems

Abstract

A collocation method with space–time radial polynomials for solving two–dimensional inverse heat conduction problems (IHCPs) is presented. The space–time radial polynomial series function is developed for spatial and temporal discretization of the government equation within the space–time domain. Because boundary and initial data are assigned on the space–time boundaries, the numerical solution of the IHCP can be approximated by solving the inverse boundary value problem in the space–time domain without using the time–marching scheme. The inner, source, and boundary points are uniformly distributed using the proposed outer source space–time collocation scheme. Since all partial derivatives up to order of the problem’s operator of the proposed basis functions are a series of continuous functions, which are nonsingular and smooth, the numerical solutions are obtained without using the shape parameter. Numerical examples for solving IHCPs with missing both parts of initial and boundary data are carried out. The results of our study are then compared with those of other collocation methods using multiquadric basis function. Results illustrate that highly accurate recovered temperatures are acquired. Additionally, the recovered temperatures on inaccessible boundaries with high accuracy can be acquired even 1/5 portion of the entire space–time boundaries are inaccessible.

Keywords

Space–time
Collocation method
Inverse heat conduction problem
Radial polynomials
Radial basis function
Share Link: https://authors.elsevier.com/c/1b~Ot3PKjspXY1
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Space–Time Radial Basis Function–Based Meshless Approach for Solving Convection–Diffusion Equations

Abstract:This article proposes a space–time meshless approach based on the transient radial polynomial series function (TRPSF) for solving convection–diffusion equations. We adopted the TRPSF as the basis function for the spatial and temporal discretization of the convection–diffusion equation. The TRPSF is constructed in the space–time domain, which is a combination of n–dimensional Euclidean space and time into an n + 1–dimensional manifold. Because the initial and boundary conditions were applied on the space–time domain boundaries, we converted the transient problem into an inverse boundary value problem. Additionally, all partial derivatives of the proposed TRPSF are a series of continuous functions, which are nonsingular and smooth. Solutions were approximated by solving the system of simultaneous equations formulated from the boundary, source, and internal collocation points. Numerical examples including stationary and nonstationary convection–diffusion problems were employed. The numerical solutions revealed that the proposed space–time meshless approach may achieve more accurate numerical solutions than those obtained by using the conventional radial basis function (RBF) with the time-marching scheme. Furthermore, the numerical examples indicated that the TRPSF is more stable and accurate than other RBFs for solving the convection–diffusion equation. Keywords: space–time; transient radial basis function; convection–diffusion equation; meshless; radial polynomials            

Abstract: https://www.mdpi.com/2227-7390/8/10/1735
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A Collocation Method Using Radial Polynomials for Solving Partial Differential Equations

Abstract: In this article, a collocation method using radial polynomials (RPs) based on the multiquadric (MQ) radial basis function (RBF) for solving partial differential equations (PDEs) is proposed. The new global RPs include only even order radial terms formulated from the binomial series using the Taylor series expansion of the MQ RBF. Similar to the MQ RBF, the RPs is infinitely smooth and differentiable. The proposed RPs may be regarded as the equivalent expression of the MQ RBF in series form in which no any extra shape parameter is required. Accordingly, the challenging task for finding the optimal shape parameter in the Kansa method is avoided. Several numerical implementations, including problems in two and three dimensions, are conducted to demonstrate the accuracy and robustness of the proposed method. The results depict that the method may find solutions with high accuracy, while the radial polynomial terms is greater than 6. Finally, our method may obtain more accurate results than the Kansa method. Keywords: multiquadric; radial basis function; radial polynomials; the shape parameter; meshless; Kansa method

Abstract: https://www.mdpi.com/2073-8994/12/9/1419
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第十二屆地下水資源及水質保護研討會

會議聯絡人資訊

召集人:    顧承宇    特聘教授     chkst26@mail.ntou.edu.tw 協同召集人:張良正    教授         lcchang@g2.nctu.edu.tw 許世孟    副教授       shihmeng@mail.ntou.edu.tw 邱永嘉    副教授       ycchiu@mail.ntou.edu.tw 執行秘書:  劉芷妤    博士         20452003@email.ntou.edu.tw 『第十二屆地下水資源及水質保護研討會』專用電郵:hre2514@email.ntou.edu.tw

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Modification of the DDA method for rigid block Problems

不連續變形分析法在落石問題之應用

https://doi.org/10.1016/S0148-9062(97)00319-7

Abstract

This paper presents the development of the rigid block version of discontinuous deformation analysis and its preliminary application in rockfall simulation. Modifications, including the reduction of the error due to large rigid body rotation by using post-correction at each time step of calculation and the incorporation of mass proportional damping to account for energy losses, are made to meet the requirement for large block translation as well as rotation. To improve the program efficiency, rigid body displacement function and preconditioned conjugate gradient solver are adopted. The results obtained show that the newly developed code, RIG-DDA, can appropriately and efficiently model various modes of rockfall movement and predict the trajectory of falling rock debris, which is helpful in the design of protection measures.



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彰濱外海離岸風機基礎設計分析

NUMERICAL ANALYSES OF PILE FOUNDATION FOR SUPPORT STRUCTURE OF OFFSHORE WIND TURBINE AT CHANGHUA COAST IN TAIWAN

This study investigates the bearing capacities of group pile foundation (jacket foundation) installed on the seabed of offshore wind farm (OWF) at the Changhua coast of Western Taiwan for the jacket support structure of offshore wind turbine (OWT) using three-dimensional (3-D) finite element method (FEM). The jacket foundations are subjected to a combined Vertical-Horizontal-Moment (V-H-M) loading for the operational period. The responses of installed group pile foundations are investigated under the combined loading in marine silty sand-low plasticity silt & clay (SM-ML-CL) layers determined by 19 offshore boring logs. The validity of numerical procedures was verified by a large-scale lateral loading test of steel tubular model pile in laboratory. A systematic parametric study was performed to investigate the effects of the pile length L, pile diameter D, and pile spacing S on the ultimate bearing (or load) capacity behavior of the foundation. The effect of pile length is significant on the vertical bearing capacity (Vult) whereas pile diameter and pile spacing on the ultimate horizontal and moment loads bearing capacities (Hult and Mult). The normalized V-H and V-H-M failure envelopes of bearing capacity for the jacket foundations subjected to combined loadings can be expressed as functions of L, D, and S and fitted by elliptical shape curves. The V-H-M failure envelopes and approximated expressions are proposed to evaluate the mechanical stability of the group pile foundations for the jacket support structure of OWT under the combined loading condition.

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https://jmst.ntou.edu.tw/marine/28-3/179-199.pdf
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Solving Backward Heat Conduction Problems Using a Novel Space–Time Radial Polynomial Basis Function Collocation Method 時空徑向多項式基底函數配點法求解反向熱傳導問題

Abstract: In this article, a novel meshless method using space–time radial polynomial basis function (SRPBF) for solving backward heat conduction problems is proposed. The SRPBF is constructed by incorporating time-dependent exponential function into the radial polynomial basis function. Di erent from the conventional radial basis function (RBF) collocation method that applies the RBF at each center point coinciding with the inner point, an innovative source collocation scheme using the sources instead of the centers is first developed for the proposed method. The randomly unstructured source, boundary, and inner points are collocated in the space–time domain, where both boundary as well as initial data may be regarded as space–time boundary conditions. The backward heat conduction problem is converted into an inverse boundary value problem such that the conventional time–marching scheme is not required. Because the SRPBF is infinitely di erentiable and the corresponding derivative is a nonsingular and smooth function, solutions can be approximated by applying the SRPBF without the shape parameter. Numerical examples including the direct and backward heat conduction problems are conducted. Results show that more accurate numerical solutions than those of the conventional methods are obtained. Additionally, it is found that the error does not propagate with time such that absent temperature on the inaccessible boundaries can be recovered with high accuracy.

 

Figure 1. Configuration of the collocation points for the direct heat conduction problem.

Figure 2. Illustration of the space–time collocation scheme: (a) The DHCP; (b) The BHCP.

Keywords: collocation method; space–time; radial polynomial; basis function; heat conduction

doi:10.3390/app10093215

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Abstract: https://www.mdpi.com/2076-3417/10/9/3215

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