Computational SaturdayMay 10, 2008Project Presentations 18.086 and 18.336MIT Spring 2008Benjamin Seibold, Jean-Christophe Nave, instructors1 The EventsThe MIT course 18.086: Computational Science and Engineering II covers numerical meth-ods for initial value problems, the s olution of large systems, and optimization and minimum prin-ciples.The MIT course 18.336: Numerical Methods for Partial Differential Equations providesan advanced introduction to applications and theory of numerical methods for partial differentialequations, with emphasis on the fundamental ideas underlying various methods.In both courses students work on individual projects, applying the concepts learned in the coursesto challenging problems. The applications often arise in the students’ research field, or the problemsare of specific numerical interest. The students and their projects come from a wide variety of areas,ranging from mathematics and computer science to various fields of engineering and planetarysciences.An central part of the courses are the project presentations. These take place on Saturday, May10th, between 9:40am and 3:15pm. The presentations are aimed at a general scientific audience,with focus on the numerical solution of physically arising equations. The students and instructorsof 18.086 and 18.336 invite you to join the presentations.More information on the courses, the projects, and this event can be found on the course web pages:www-math.mit.edu/18086/andweb.mit.edu/jcnave/www/courses/18.336.htm12 Presentatio n ScheduleUnless otherwise noted, the presentations take place on 05/10/2008.Time Speaker 18.086 (2-132) Speaker 18.336 (2-136)9:40am Junlun Li Huafei SunRotated staggered grid Anisotropic mesh adaptation10:00am Sudhish Kumar Bakku XiangDong LiangWaves with surface topography Animal migration10:20am Robert Panish Ramis MovassaghReentering space shuttle Surface tension driven flow10:40am Haijie Chen —break—Surface tension driven flow11:00amDongfang Bai Jae Hyung KimPiston secondary motion Fluttering wing at high Re11:20am Goh Chun Fan Masayuki YanoFlow in a changing domain High order stabilized FEM11:40am Ishan Barman WenTing XiaoRobust multivariate calibration Transient wave focusing12pm–1pm —break— —break—1:00pm Tian Fook Kong David HenannMicrofluidic switch Large deformation solid-fluid1:20pm Vernella Vickerman Leon FayMembrane chemotatic gradient Electrically small antennas1:40pm Yinchun Wang Ben DrueckeDroplet-wall collision Analysis of inertia-gravity waves2:00pm Hussam Busfar Bryce CampbellLocating earthquakes Multiphase chemical flows2:20pm Kirki KofianiNonlinear wave-wave interaction2:40pm James ModisetteDG with element size changes3:00pm Laslo DiosadyDG for flows in non-equilibrium05/13 11:05am Alexandre Noll MarquesUnsteady 3D laminar RANS05/13 11:25am Simcha SingerParticle combustion/gasification05/14 1:05pm Legena HenryViscous boundary layer05/14 1:25pmRobert LeggeFlow with porosity gradient23 Titles and AbstractsSpeakers in alphabetical order.Dongfang Bai: Solving piston secondary motion of internal combustion engines(ICE)This project simulates piston secondary motion of ICEs. An implicit control volume method isused to solve the pressure distribution in the oil film between cylinder and piston, which has takeninto consideration the cavitation phenomenon. A Newton’s method is used to solve the piston skirtdeformation due to the generated pressure.Sudhish Kumar Bakku: Modeling elastic wave propagation in a layered medium withsurface topographyElastic wave propagation is modeled in finite differences by a staggered grid formulation. Theaccuracy of the method and stability are discussed. In the model, a finite region is consideredfor wave propagation. Whereas, in real life situation, we have semi-infinite space. The reflectionsat the boundaries would over shadow the real signals. To prevent this, energy is absorbed at theboundary by using PML (Perfectly Matching Layer). Also, we would address the issue of modelingtopography at the surface by multi-grid method.Ishan Barman: Understanding constrained regularization to develop robust multivari-ate calibration schemesMultivariate calibration is a valuable analytical tool for extracting constituent concentrations incomplex chemical systems that exhibit linear response. Multivariate techniques are particularly wellsuited to analysis of spectral data because information about all of the analytes can be collectedsimultaneously at many wavelengths. In this talk, a hybrid multivariate calibration method ispresented to improve the robustness of the existing calibration methodologies. Its utility is demon-strated on the basis of experimental Raman spectra. In this new method, multivariate calibrationis treated as an inverse problem in which an optimal balance between model complexity and noiserejection is achieved, using Tychonov regularization, with the inclusion of prior information in theform of a spectral constraint.Hussam Busfar: Locating earthquakes and minimizing the errorLocating earthquakes is a challenging problem especially if these earthquakes are weak and theseismic network is sparse. In my project, I generate synthetic earthquakes knowing their locationand the velocity structure of the subsurface. Then, I try the inverse problem and examine howaccurate we can locate those earthquakes and the velocity structure knowing only the geometry ofthe seismic network and the first P-wave arrival time.Bryce Campbell: Numerical simulation of instabilities in multiphase chemical flowsHaijie Chen: Surface Tension Driven Flow Field and Free Surface EvolutionThe project solves the problem of free surface evolution of surface tension driven flow. Three3different numerical schemes, including the explicit, implicit and the semi implicit of finite differencemethod are implemented and their merit and demerit are evaluated. In the end, some preliminaryresults of the problem have been achieved and analyzed.Laslo Diosady: DG discretization of flows in chemical and thermal non equilibriumBen Druecke: Spectral analysis of inertia-gravity wavesGoh Chun Fan: Fluid flow in a changing domainLeon Fay: Simulating electrically small antennasDavid Henann: An Eulerian approach for large deformation elasticity: application tosolid-Fluid interactionLegena Henry: A simulation of a viscous boundary layer upon the introduction ofvorticesA simulation of the response of a viscous, incompressible boundary layer to an impulsive changein