Computational Sciences and Engineering (CSE): A New Paradigm in Scientific Research & Education Abul K. M. Fahimuddin Scientific Research Staff Institute of Scientific Computing Technical University Braunschweig Germany Technical University Braunschweig Institute of Scientific Computing
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Computational Sciences and Engineering (CSE):A New Paradigm in Scientific
Research & Education
Abul K. M. Fahimuddin
Scientific Research Staff
Institute of Scientific Computing
Technical University Braunschweig
Germany
Technical University Braunschweig Institute of Scientific Computing
Motivation: Chemical Dispersion in Urban Areas
Technical University Braunschweig Institute of Scientific Computing
Motivation: Natural Disaster Simulation
Technical University Braunschweig Institute of Scientific Computing
Motivation: Crash Test for Automobiles
Technical University Braunschweig Institute of Scientific Computing
Motivation: Research Related to Defense
Technical University Braunschweig Institute of Scientific Computing
Driving Forces behind these Applications ?
• In depth understanding of the application problem,
• Advanced numerical techniques, and
• Tremendous growth in high performance computing (HPC)
⇓
”Computational” Sciences and Engineering( CSE )
Technical University Braunschweig Institute of Scientific Computing
Overview of the Presentation
• Evolution of Computational Sciences
• Definition & Scope of CSE
• Concrete Example of CSE Applications
• CSE Education
• Example CSE Education Program @ TU Braunschweig, Germany
• Research Challenges for Computational Scientists
Technical University Braunschweig Institute of Scientific Computing
First Part of the Presentation
Scope & Application of CSE
Technical University Braunschweig Institute of Scientific Computing
Scientific Research: Methods of Investigation
Many researchers claim that computing has become a third main method fordoing investigations, besides theory and experiments
Technical University Braunschweig Institute of Scientific Computing
Computation: The Third Research Method
• Computer simulation makes it possible to investigate regimes:
− Beyond current experimental capabilities
− Phenomena that cannot be replicated in laboratories
Technical University Braunschweig Institute of Scientific Computing
What is Computational Science and Engineering ?
• CSE is the practice of computer-based modeling and simulation for the study of
scientific phenomena and engineering designs.
• CSE research is multidisciplinary, as it requires:
− knowledge and methodologies from the application fields, from computerscience, and from mathematics;
− expertise in the use of the technologies that comprise today’s computingenvironments;
− the integration of the information technologies into new combinations thatprovide new capabilities.
Technical University Braunschweig Institute of Scientific Computing
CSE in a Nutshell !
MathCS
Application
hard/software techniques
science
C
ES
Technical University Braunschweig Institute of Scientific Computing
Technical University Braunschweig Institute of Scientific Computing
Super Computers and CSE
Knowledge of high-performance computer hardware and software is importantfor programming of computationally intensive applications
Technical University Braunschweig Institute of Scientific Computing
A Multi-disciplinary CSE Application Problem :
Reservoir History Matching
Technical University Braunschweig Institute of Scientific Computing
Statement of History Matching Problem
• History matching is a difficult inverse problem arising in the petroleum industry.
• History matching involves adjusting model parameters, with the aim of obtaininga model output, which is as close to the history (dynamic) data as possible.
• Mathemtically, the aim is to determine a spatial distribution r(x) and a set ofmodel parameters P, given the history data Θh, such that Θs − Θh ≈ 0, whereΘs = f(r,P) is the simulated/model output.
• If one assumes that the geological descriptions is true, then the history-matchingproblem reduces to determining the set of model parameters P.
Technical University Braunschweig Institute of Scientific Computing
Mathematical Model of History Matching
• The flow of oil in a fractured reservoir is described, in the simplest case, by alinear parabolic partial differential equation of the form:
∂u
∂t= ∇ · ( κ ∇ u ) + f (1)
where κ is the conductivity. The dependent variable u represents pressure and faccounts for the withdrawal or injection of fluid in the reservoir. Hence the histotymatching problem can be stated as:
Knowing the source term f and the initial condition and given a measurementof u(x, t) at a discrete set of points x1, · · · , xµ, determine the spatial varyingparameter κ (including the locations of discontinuities).
Technical University Braunschweig Institute of Scientific Computing
Multi-disciplinary Nature of History Mathching
• Required knowledge from the fields of:
− Geo-physics, seismic analysis
− Reservoir and chemical engineering
− Applied mathematics & numerical methods
− Large-scale software development, i.e. communication and programming
− Production, marketing, management & sales
• Researchers involved from :
− Geophysists & exploration experts
− Mathematicians & Statisticians
− Reservoir, civil, mechanical & chemical engineers
− Computer scientists & so on · · ·
Technical University Braunschweig Institute of Scientific Computing
Second Part of the Presentation
CSE Education Contents
Technical University Braunschweig Institute of Scientific Computing
Nature of CSE Education
• The traditional teaching of science tends to focus on theory. In contrast,CSE offers an understanding of science through the computer applications ofmathematical models.
• It also makes many science and mathematics concepts more easily accessibleto students who may otherwise not be reached; for example, those students notinterested in computer hardware, software, and algorithms for their own sake.
• In addition, by extending the examples used in education to include problemswhich may not have analytic solutions, CSE enriches the science curriculum byextending the range of problems open to study.
Technical University Braunschweig Institute of Scientific Computing
Nature of CSE Education . . .
Solved
ProblemEngineering &
Science
ComputerScience
NumericsMathematics
Computational Science
Technical University Braunschweig Institute of Scientific Computing
Intellectual Content of CSE Education
• Learning high-level computer languages and high-performance computing;
• Obtaining knowledge of applied mathematics and computational methods;
• Learning the basics of simulation and modeling;
• Learning how to interpret and analyze data visually;
• Applying acquired computing skills to at least one application area;
• Learning to communicate solution methods and results
Technical University Braunschweig Institute of Scientific Computing
Required Knowledge for CSE Education
EducationCSE
Computational
Tools
HighPerformance
Computing
MathematicsApplied
ApplicationScientific
Simulation
Modeling&
Visualization
Tools
Technical University Braunschweig Institute of Scientific Computing
Third Part of the Presentation
CSE Masters’ Program @ Germany
Technical University Braunschweig Institute of Scientific Computing
CSE Program at TU Braunschweig, Germany
• An international, interdisciplinary and bilingual Master’s program in Computa-tional Sciences in Engineering (CSE).
• CSE program is directed at students of engineering sciences, mathematicsand computer science.
• The program combines 3 semesters of instructions and one semester for theMaster’s Thesis.
• Each student has the greatest− possible freedom in choosing individuallyfrom the wide range of courses and lectures.
Technical University Braunschweig Institute of Scientific Computing