Instructor and inital Short Course information can be found below. Addtional details will be posted soon.
Courses are taught by internationally known experts. Instructors typically include an overview of the state of the art of their topic, and highlight their own research, but also include the current work of others. It is intended to be a “course” in the traditional sense of enabling attendees to go forth and produce new results of their own, rather than simply use existing knowledge. This year we are having two short course tracks, each with two classes. One track is traditional “core” meshing topics, and the other is topics that we believe would “enrich” the perspective of meshing researchers beyond what they are most familiar with. The goal of the core topics is to bring attention to the state of the art, so that attendees would be positioned to contribute directly to that topic. The goal of the enrichment topics is to make attendees aware of exciting knowledge from nearby fields that could bring a new set of tools, math, and perspectives to meshing research. Both tracks are suitable for both new and experienced meshing researchers.
The IMR short courses will be held Monday, October 1, 2018. Courses are taught by internationally known experts in the field of Mesh Generation. Instructors will address practical issues in the design and implementation of both structured and unstructured mesh generation codes.
To register for the short courses, mark the appropriate boxes on the registration form.
Title: Mesh Generation – Fundamental Issues and Emerging Applications
Biography: Kenji Shimada is Theodore Ahrens Professor in Engineering at Carnegie Mellon University in the Department of Mechanical Engineering, the Department of Biomedical Engineering (courtesy appointment), the Department of Civil and Environmental Engineering (courtesy appointment), and the Robotics Institute (courtesy appointment). Dr. Shimada received his B.S. and M.S. from the University of Tokyo, and his Ph.D. from the Massachusetts Institute of Technology. His research interests are in the areas of geometric modeling, computational geometry, computer graphics, factory robotics, computer assisted surgery, and human body simulation. At Carnegie Mellon, Dr. Shimada has explored a new physically based approach to key geometric problems in engineering and medical applications, such as finite element mesh generation, interactive curve and surface design, three-dimensional shape reconstruction, robotic path generation, and surgical planning. His physically based mesh generation method, BubbleMesh®, has been licensed to and used by over 50 companies in manufacturing industries. A member of ACM, ASME, IEEE Computer Society, JSIAM, and SAE, Dr. Shimada is the recipient of a number of awards, including APSIPA Distinguished Lecturer in 2013, Outstanding Research Award from Carnegie Institute of Technology in 2013, IMR Fellow Award in 2011, the Best Author Award from the Japan Society for Industrial and Applied Mathematics in 2006, ASME Design Automation Best Paper Award in 2004, IPSJ Best Paper Award in 2002, NSF CAREER Award in 2000, Honda Initiation Grant Award in 1998, George Tallman Ladd Award for Excellence in Research from the Carnegie Institute of Technology in 1998, IPSJ Yamashita SIG Research Award in 1994, and Nicograph Best Paper Award in 1994. Shimada currently serves on the editorial board of four international journals and has served as Chairman of many academic conferences and committees, including Geometric Modeling and Processing in 2006, ASME Design Automation Conference in 2004, Symposium on Unstructured Mesh Generation in 2001, and International Meshing Roundtable in 1999. He is the author or co-author of over 130 peer-reviewed papers in journals and conferences, and the inventor or co-inventor of over 20 patents in the US, Japan, and Europe.
Abstract: This short course covers the fundamental issues and emerging applications of mesh generation, a critical process in various science and engineering applications, including geometric modeling, engineering analyses, computer graphics, scientific visualization, and robotics. Using various examples of practical usages of meshes in engineering and other areas, we will discuss two fundamental issues in meshing: (1) controlling three mesh characteristics: size, anisotropy, and directionality – this is essential in realizing a mesh that leads to a high-fidelity solution with less computational cost, and (2) geometric processing for meshing – in many applications, the quality of the resulting mesh depends heavily on how the input geometry is pre-processed. We will conclude the short course by presenting two examples of emerging applications of mesh generation: pattern generation for industrial design, and lattice generation for additive manufacturing, or 3D printing.
Title: Volumetric Spline Modeling for Isogeometric Analysis
Biography: Jessica Zhang is a Professor of Mechanical Engineering at Carnegie Mellon University with a courtesy appointment in Biomedical Engineering. She received her B.Eng. in Automotive Engineering, and M.Eng. in Engineering Mechanics from Tsinghua University, China; and M.Eng. in Aerospace Engineering and Engineering Mechanics and Ph.D. in Computational Engineering and Sciences from Institute for Computational Engineering and Sciences (ICES), The University of Texas at Austin. After staying two years at ICES as a postdoctoral fellow, she joined CMU in 2007 as an assistant professor, and then was promoted to an associate professor in 2012 and a full professor in 2016. Her research interests include computational geometry, mesh generation, computer graphics, visualization, finite element method, isogeometric analysis and their application in computational biomedicine, material sciences and engineering. She has co-authored over 160 publications in peer-reviewed journals and conference proceedings, and received the Best Paper Award 1st Place in Solid and Physical Modeling Conference 2018, Autodesk Best Paper Award 1st Place in SIAM Conference on Solid and Physical Modeling 2015, the Best Paper Award in CompIMAGE’16 conference and one of the 5 Most Highly Cited Papers Published in Computer-Aided Design during 2014-2016. She published a book entitled “Geometric Modeling and Mesh Generation from Scanned Images” with CRC Press, Taylor & Francis Group in 2016. She is the recipient of ELATE Fellow at Drexel, Presidential Early Career Award for Scientists and Engineers, NSF CAREER Award, Office of Naval Research Young Investigator Award, USACM Gallagher Young Investigator Award, Clarence H. Adamson Career Faculty Fellow in Mechanical Engineering, George Tallman Ladd Research Award, and Donald L. & Rhonda Struminger Faculty Fellow.
Abstract: As a new advancement of traditional finite element method, isogeometric analysis (IGA) adopts the same set of basis functions to represent both the geometry and the solution space, integrating design with analysis seamlessly. In this talk, I will present our research of the latest ten years on volumetric spline parameterization for IGA.
The first problem we studied was converting any quadrilateral and hexahedral meshes to T-splines. To construct a gap-free T-spline, templates are designed for each type of node and applied to elements in the input mesh. An efficient surface fitting technique is developed to improve the surface accuracy with sharp feature preservation. The constructed T-splines interpolate every boundary node in the input mesh, with C2-continuity everywhere except the local region around extraordinary nodes. Polycube-based parametric mapping is a robust method for hexahedral control mesh generation with the minimum number of extraordinary nodes. For arbitrary topology objects, we first build a polycube whose topology is equivalent to the input geometry and it serves as the parametric domain for the following trivariate T-spline construction. Boolean operations and geometry skeleton can also be used to preserve surface features. A parametric mapping is then used to build a one-to-one correspondence between the input geometry and the polycube boundary. After that, we choose the deformed octree subdivision of the polycube as the initial T-mesh, and make it valid through pillowing, quality improvement, and applying templates to handle extraordinary nodes. The parametric mapping method has been further extended to conformal solid T-spline construction with the input surface parameterization preserved and trimming curves handled. A new centroidal Voronoi tessellation (CVT) based surface segmentation method was recently developed to build polycubes. Eigenfunctions of the secondary Laplace operator (SLO) are coupled with the harmonic boundary-enhanced CVT (HBECVT) model to classify vertices of the surface into several components based on concave creases and convex ridges of an object. For each segmented component, we apply the skeleton information to define local coordinates and include them into the HBECVT model to further segment it into several patches, with predefined geometric constraints applied for valid polycube construction.
Basis functions are critical for isogeometric modeling. We have derived truncated hierarchical spline basis functions to enable analysis-suitability of partition of unity and linear independence, including truncated hierarchical Catmull-Clark subdivision with local refinement, weighted T-splines, truncated T-splines, and truncated hierarchical tricubic splines (TH-spline3D) to support adaptive IGA on unstructured hexahedral meshes. Furthermore, a blended B-spline approach was recently developed to construct basis functions around extraordinary nodes, achieving an optimal convergence rate of IGA. All our splines support Bézier extraction such that they are compatible with existing finite element frameworks. The developed pipelines have been incorporated into commercial software such as Rhino, Abaqus and LS-DYNA for industry applications. In the end, I will show several novel engineering applications using spline modeling and IGA, such as image registration, neuron material transport and 4D printing.
Title: Parallel Mesh Generation and Adaptivity
Biography: Nikos Chrisochoides is the Richard T. Cheng Distinguished Professor of Computer Science at ODU and John Simon Guggenheim Fellow in Medicine & Health. He was elected Distinguished Visiting Fellow in the Royal Academy of Engineering in the UK. His current research interests are in exascale and real-time parallel mesh generation. Nikos received his Ph.D. in 1992 from Computer Science at Purdue University. He worked at Northeast Parallel Architectures Center in Syracuse and Advanced Computing Research Institute at Cornell University. In 1997 he joined the Computer Science & Engineering Dept. at the University of Notre Dame where he received his NSF CAREER Award. In 2000 he joined the College of William and Mary where he was awarded the Alumni Memorial Professorship. He has held visiting positions at MIT, Harvard Medical School and Brown University. He generated as a PI and Co-PI more than $14.5 million for his research group on high-performance computing, parallel mesh generation and image-to-mesh conversion. He has more than 240 publications in these and related areas.
Abstract: Parallel mesh generation is relatively new research areas transcending the boundaries of two scientific computing disciplines: computational geometry and parallel computing. We will present practical aspects related to the implementation of parallel mesh generation methods on current and emerging architectures. Parallel mesh generation methods decompose the original mesh generation problem into smaller sub-problems which are solved in parallel. We will organize the parallel mesh generation methods in terms of the degree of coupling between the sub-problems. We will identify common abstractions and overview existing parallel mesh generation methods.
Title: Current Developments in Hexahedral and Multi-block Mesh Generation
Biography: Cecil G. Armstrong founded the Finite Element Modeling group at the Queen’s University of Belfast Northern Ireland in 1987. He participated in the very first International Meshing Roundtable organised by Ted Blacker at Northwestern University in 1992.
The Queen's University Belfast group introduced the use of the Medial Axis Transform to engineering applications in mesh generation, dimensional reduction and detail suppression. In recent years there has also been a significant focus on the concept of Defining Simulation Intent.
Since the beginning, the group has collaborated with the International TechneGroup European HQ in Cambridge UK, and their Medial Object technology has its roots in Queen's University Belfast research from the early 1990s. The Medial Object has found applications not just in mesh generation, but in other diverse areas from injection moulding to manufacturing planning.
In recent years the group has also had a strong relationship with Rolls-Royce, especially the Methods and Design functions, in pioneered generic approaches to CAE which can be developed to provide functionality that can be supported in the R-R commercial environment.
PhD graduates from the Queen's University Belfast FEM Group have gone on to become key figures in both academia and the CAE industry.
Cecil retired in November 2017 but maintains a part-time interest in research at Queen's University Belfast.
Abstract: The course will review the current state of the art in hexahedral meshing and multiblock decomposition. The similarities and differences between “outside-in” advancing front methods (2D paving / 3D plastering / unconstrained paving and plastering, 2D cross fields / 3D frame fields and medial axis methods) will be explored. These will be compared with “inside-out” methods such as octree decomposition and tetrahedral combination.
Singular vertices and edges (where the number of attached elements is different from that in a structured mesh) play a key role in the definition of hexahedral and multiblock meshes, and there are equivalent measures even in tri meshes. Bunin’s continuum theory of unstructured meshing will be used to provide a framework for identifying constraints on the organisation of mesh singularities.
Geometric reasoning approaches to partitioning a target domain into simpler mesh-able configurations such as thin sheets, long slender parts, midpoint subdivision, multi-sweep regions and revolves will be explored, with a discussion on how the decomposition can be facilitated using Virtual Topology. Local features causing particular difficulty will be highlighted.
Block structured meshes impose constraints on the achievable mesh size and division numbers in different areas. Formulating the necessary constraints will be described, with a discussion of how mesh-able templates which guide the mesh singularities can be used to reduce the constraints and improve mesh quality.Learning outcomes By the end of this course attendees should be able to: