Organizing Committee
Abstract

Partial differential equations (PDEs) have long played crucial roles in the field of fluid dynamics. These PDE models, including Euler and Navier-Stokes equations for incompressible and compressible flows, kinetic equations for rarefied flows, and equations for more complex flows such as magneto-hydrodynamics flows, have motivated numerous studies from the theory of PDEs to the design and analysis of computational algorithms, and their implementation and application in computational fluid dynamics (CFD). This discipline is continually and dynamically evolving, constantly bringing forward new results in PDE theory, computation, and application to CFD, and also setting up the ground for generalizations to other related applications including electro-magnetics, fluid-structure interactions, cosmology, and computational electronics.

The aim of this workshop is to review the recent progress in the type of PDEs arising from fluid dynamics and other related physical areas, in terms of their theory, computation, and applications. The invited speakers include PDE analysts, applied and computational mathematicians, and engineers. Many of the invited speakers have made fundamental contributions to the development of PDE numerical methods and mathematical analysis as well as cutting edge applications. In harmony with ICERM's mission, the most significant aspect of this workshop is cutting-edge computational mathematics, and reinforcing the critical role played by computation in the mathematical and experimental aspects of fluid dynamics.

This workshop aims to showcase recent advances in the theory and computation of PDEs with applications in CFD. It is thus an excellent vehicle to commemorate Professor Saul Abarbanel, who has made fundamental contributions to fluid dynamics and PDEs, especially in their computation and application to CFD. To honor his memory, this workshop will focus on recent developments in the field, highlighting the exchange of current research ideas and setting the stage for future research.

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Confirmed Speakers & Participants

Talks will be presented virtually or in-person as indicated in the schedule below.

  • Speaker
  • Poster Presenter
  • Attendee
  • Virtual Attendee
  • Azhar Alhammali
    Oregon State University
  • Bahador Bahmani
    the University of Tennessee
  • Yuanxun Bao
    University of Texas, Austin
  • Abhijit Biswas
    Temple University
  • Tan Bui-Thanh
    University of Texas at Austin
  • Ernesto Caceres
    Brown University
  • Xiaofeng Cai
    University of Delaware
  • Duo Cao
    Purdue University
  • Mark Carpenter
    NASA Langley Research Center
  • Yanlai Chen
    University of Massachusetts, Dartmouth
  • Anqi Chen
    Michigan State University
  • Alina Chertock
    North Carolina State University
  • Alexandre Chorin
    University of California, Berkeley
  • Stavros Christofi
    Western Connecticut State University
  • Nattaporn Chuenjarern
    Michigan Technological University
  • Sidafa Conde
    Sandia National Laboratories
  • Constantine Dafermos
    Brown University
  • Mingchang Ding
    University of Delaware
  • Adi Ditkowski
    Tel Aviv University
  • Julia Docampo Sanchez
    MASSACHUSETTS INSTITUTE OF TECHNOLOGY
  • Wai-Sun Don
    Ocean University of China
  • Bo Dong
    University of Massachusetts Dartmouth
  • Rebecca Durst
    Brown University
  • Fariba Fahroo
    DARPA
  • Dalia Fishelov
    Afeka-Tel Aviv Academic College of Engineering
  • Guosheng Fu
    Brown University
  • Lin Fu
    Stanford University
  • Anne Gelb
    Dartmouth College
  • Debojyoti Ghosh
    Lawrence Livermore National Laboratory
  • Jan Giesselmann
    RWTH Aachen University
  • Jan Glaubitz
    TU Braunschweig
  • Sigal Gottlieb
    University of Massachusetts Dartmouth
  • Wei Guo
    Texas Tech University
  • Bertil Gustafsson
    Uppsala University
  • Johnny Guzman
    Brown University
  • Fanchen He
    University of Michigan
  • Alfa Heryudono
    University of Massachusetts, Dartmouth
  • Jan Hesthaven
    Ecole Polytechnique Federale de Lausanne
  • Fumi Honda
    Brown University
  • Xiao Hou
    University of Wisconsin - Madison
  • Kai Huang
    Michigan State University
  • Xiaokai Huo
    King Abdullah University of Science and Technology
  • Leah Isherwood
    University of Massachusetts - Dartmouth
  • Olaniyi Iyiola
    Minnesota State University Moorhead
  • Ameya Jagtap
    Tata Institute of Fundamental Research
  • Lee Jameson
    National Science Foundation
  • Antony Jameson
    Stanford University
  • Jaber Javanshir Hasbestan
    University of Pittsburgh
  • Jiahua Jiang
    Virginia Tech
  • Shuai Jiang
    Brown University
  • Shinhoo Kang
    University of Texas at Austin
  • George Karniadakis
    Brown University
  • Rakesh Kumar
    TIFR Centre for Applicable Mathematics
  • Mukesh Kumar
    College of Charleston
  • Alexander Kurganov
    Southern University of Science and Technology, China and Tulane University, USA
  • Yoonsang Lee
    Dartmouth College
  • Hao Li
    Purdue University
  • Xiaole LI
    The Ohio State University
  • Yunzhang Li
    Brown University
  • Longfei Li
    University of Louisiana at Lafayette
  • Xiaozhou Li
    University of Electronic Science and Technology of China
  • Antonios Liakopoulos
    Brown University
  • Jinguo Lian
    UMass
  • Jessica Libertini
    Virginia Military Institute
  • Yvon Maday
    University Pierre and Marie Curie
  • Leonardo Marazzi
    Savannah College of Art and Design
  • Romit Maulik
    Computational Fluid Dynamics Laboratory
  • Zachary Miksis
    University of Notre Dame
  • Misun Min
    Argonne National Laboratory
  • Sriramkrishnan Muralikrishnan
    The University of Texas at Austin
  • Kit Newton
    University of Wisconsin-Madison
  • Thuong Nguyen
    University of Utah
  • Jan Nordstrom
    Linköping University
  • Laura Petto
    Dartmouth College
  • Abdul Rahimyar
    Western Connecticut State University
  • Philip Roe
    UNIVERSITY OF MICHIGAN
  • Jennifer Ryan
    University of East Anglia and Heinrich Heine University
  • Amir Sagiv
    Tel Aviv University
  • Leonardo Scandurra
    Heinrich-Heine-Universität Düsseldorf
  • Choah Shin
    Oregon State University
  • Michael Shoushani
    Western Connecticut State University
  • Chi-Wang Shu
    Brown University
  • Paramjeet Singh
    Thapar Institute of Engineering & Technology
  • Bedrich Sousedik
    University of Maryland, Baltimore County
  • Varsha Srivastava
    Indian Institute of Technology Delhi, India
  • Walter Strauss
    Brown University
  • Eitan Tadmor
    University of Maryland
  • Qi Tang
    Rensselaer Polytechinic Institute
  • Jing Tian
    Towson University
  • Eric Tovar
    Texas A&M University
  • Semyon Tsynkov
    North Carolina State University
  • Eli Turkel
    Tel Aviv University
  • Xiao Wen
    Ohio State University
  • Ziyao Xu
    Michigan Technological University
  • Yang Yang
    Michigan Technological University
  • H.C. Yee
    NASA Ames Research Center
  • Minglang Yin
    Brown University
  • Zhiyuan Zhang
    Brown University
  • Xu Zhang
    Mississippi State University
  • Feng Zheng
    Xiamen University
  • Fangyao Zhu
    Michigan technological university

Workshop Schedule

Monday, August 20, 2018
TimeEventLocationMaterials
8:30 - 8:55am EDTRegistration - ICERM 121 South Main Street, Providence RI 0290311th Floor Collaborative Space 
8:55 - 9:00am EDTWelcome - ICERM Director11th Floor Lecture Hall 
9:00 - 9:45am EDTSaul Abarbanel- half a century of scientific work - Bertil Gustafsson, Uppsala University11th Floor Lecture Hall
10:00 - 10:30am EDTCoffee/Tea Break11th Floor Collaborative Space 
10:30 - 11:15am EDTStrong Stability Preserving Integrating Factor Runge--Kutta Methods - Sigal Gottlieb, UMASS Dartmouth11th Floor Lecture Hall
11:30 - 12:15pm EDTEntropy stability for nonlinear systems of conservation laws - Eitan Tadmor, University of Maryland11th Floor Lecture Hall
12:30 - 2:30pm EDTBreak for Lunch / Free Time  
2:30 - 3:15pm EDTA method of boundary equations for unsteady hyperbolic problems in 3D - Semyon Tsynkov, North Carolina State University11th Floor Lecture Hall
3:30 - 4:00pm EDTCoffee/Tea Break11th Floor Collaborative Space 
4:00 - 4:45pm EDTUsing ℓ1 Regularization to Improve Numerical Partial Differential Equation Solvers - Anne Gelb, Dartmouth College11th Floor Lecture Hall
5:00 - 6:30pm EDTWelcome Reception11th Floor Collaborative Space 
Tuesday, August 21, 2018
TimeEventLocationMaterials
9:00 - 9:45am EDTZero Relaxation Limit - Constantine Dafermos, Brown University11th Floor Lecture Hall
10:00 - 10:30am EDTCoffee/Tea Break11th Floor Collaborative Space 
10:30 - 11:15am EDTSteady Water Waves - Walter Strauss, Brown University11th Floor Lecture Hall
11:30 - 12:15pm EDTA Noble Cause - How Solving an Inverse PDE Problem May Help in the Fight Against Cancer - Jessica Libertini, Virginia Military Institute11th Floor Lecture Hall
12:30 - 2:30pm EDTBreak for Lunch / Free Time  
2:30 - 3:15pm EDTGaining insight of accuracy enhancement through divided difference estimates - Jennifer Ryan, University of East Anglia11th Floor Lecture Hall
3:30 - 4:15pm EDTLarge Time Steps for Compressible Flow based on Runge-Kutta Schemes - Eli Turkel, Tel Aviv University11th Floor Lecture Hall
4:30 - 5:00pm EDTPoster Session and Coffee/Tea Break11th Floor Collaborative Space 
Wednesday, August 22, 2018
TimeEventLocationMaterials
9:00 - 9:45am EDTEntropy stable high order discontinuous Galerkin methods for hyperbolic conservation laws - Chi-Wang Shu, Brown University11th Floor Lecture Hall
10:00 - 10:30am EDTCoffee/Tea Break11th Floor Collaborative Space 
10:30 - 11:15am EDTError inhibiting schemes for differential equations - Adi Ditkowski, Tel Aviv University11th Floor Lecture Hall
11:30 - 12:15pm EDTTBA - Philip Roe, University of Michigan11th Floor Lecture Hall 
12:30 - 12:40pm EDTGroup Photo11th Floor Lecture Hall 
12:40 - 2:30pm EDTBreak for Lunch / Free Time  
2:30 - 3:15pm EDTExact smoothed piecewise polynomial sequences on Alfeld splits - Johnny Gúzman, Brown University11th Floor Lecture Hall
3:30 - 4:00pm EDTCoffee/Tea Break11th Floor Collaborative Space 
4:00 - 4:45pm EDTFractional PDEs for Conservation Laws and Beyond - George Karniadakis, Brown University11th Floor Lecture Hall
Thursday, August 23, 2018
TimeEventLocationMaterials
9:00 - 9:45am EDTTBA - Antony Jameson, Stanford University11th Floor Lecture Hall 
10:00 - 10:30am EDTCoffee/Tea Break11th Floor Collaborative Space 
10:30 - 11:15am EDTA Second-Order Finite-Difference Method for Compressible Fluids in Domains with Moving Boundaries - Alina Chertock, North Carolina State University11th Floor Lecture Hall
11:30 - 12:15pm EDTHigh Order Shock Detectors for Hybrid WENO-Compact Finite Difference Scheme for Hyperbolic Conservation Laws - Wai Sun Don, School of Mathematical Sciences- Ocean University of China11th Floor Lecture Hall
12:30 - 2:30pm EDTBreak for Lunch / Free Time  
2:30 - 3:15pm EDTHigh-order compact schemes for Navier-Stokes Equations - Dalia Fishelov, Afeka Tel Aviv Academic College of Engineering11th Floor Lecture Hall
3:30 - 4:00pm EDTCoffee/Tea Break11th Floor Collaborative Space 
4:00 - 4:45pm EDTSteady-State Navier-Stokes for the Spectral Element Method - Misun Min, Argonne National Laboratory11th Floor Lecture Hall
Friday, August 24, 2018
TimeEventLocationMaterials
9:00 - 9:45am EDTA few things I know about molecular simulation- a contribution to increase the 1% activity in applied maths on the subject - Yvon Maday, University Pierre and Marie Curie11th Floor Lecture Hall
10:00 - 10:30am EDTCoffee/Tea Break11th Floor Collaborative Space 
10:30 - 11:15am EDTOn the use of artificial neural networks in discontinuous Galerkin methods - Jan Hesthaven, Ecole Polytechnique Federale de Lausanne11th Floor Lecture Hall
11:30 - 12:15pm EDTRenormalization, stochastic parametrization, and large-eddy simulation - Alexandre Chorin, University of California-Berkeley and Lawrence Berkeley National Laboratory11th Floor Lecture Hall
12:30 - 2:30pm EDTBreak for Lunch / Free Time  
2:30 - 3:15pm EDTNonlinear Stability of th Compressible Navier-Stokes Using Summation-by-parts operators - Mark Carpenter, NASA Langley Research Center11th Floor Lecture Hall
3:30 - 4:00pm EDTCoffee/Tea Break11th Floor Collaborative Space 
4:00 - 4:45pm EDTCentral Schemes- A Powerful Black-Box Solver for Nonlinear Hyperbolic PDEs - Alexander Kurganov, Southern University of Science and Technology, China and Tulane University11th Floor Lecture Hall

Lecture Videos

Central Schemes- A Powerful Black-Box Solver for Nonlinear Hyperbolic PDEs

Alexander Kurganov
Southern University of Science and Technology, China and Tulane University, USA
August 24, 2018
Advances in PDEs: Theory, Computation and Application to CFD
Play     Abstract     Slides

Nonlinear Stability of the Compressible Navier-Stokes Using Summation-by-parts operators

Mark Carpenter
NASA Langley Research Center
August 24, 2018
Advances in PDEs: Theory, Computation and Application to CFD
Play     Abstract

Renormalization, stochastic parametrization, and large-eddy simulation

Alexandre Chorin
University of California, Berkeley
August 24, 2018
Advances in PDEs: Theory, Computation and Application to CFD
Play     Abstract     Slides

On the use of artificial neural networks in discontinuous Galerkin methods

Jan Hesthaven
Ecole Polytechnique Federale de Lausanne
August 24, 2018
Advances in PDEs: Theory, Computation and Application to CFD
Play     Abstract     Slides

A few things I know about molecular simulation

Yvon Maday
University Pierre and Marie Curie
August 24, 2018
Advances in PDEs: Theory, Computation and Application to CFD
Play     Abstract     Slides

Steady-State Navier-Stokes for the Spectral Element Method

Misun Min
Argonne National Laboratory
August 23, 2018
Advances in PDEs: Theory, Computation and Application to CFD
Play     Abstract

High-order compact schemes for Navier-Stokes Equations

Dalia Fishelov
Afeka-Tel Aviv Academic College of Engineering
August 23, 2018
Advances in PDEs: Theory, Computation and Application to CFD
Play     Abstract     Slides

High Order Shock Detectors for Hybrid WENO-Compact Finite Difference Scheme for Hyperbolic Conservation Laws

Wai-Sun Don
Ocean University of China
August 23, 2018
Advances in PDEs: Theory, Computation and Application to CFD
Play     Abstract     Slides

A Second-Order Finite-Difference Method for Compressible Fluids in Domains with Moving Boundaries

Alina Chertock
North Carolina State University
August 23, 2018
Advances in PDEs: Theory, Computation and Application to CFD
Play     Abstract     Slides

Predictive CFD- Past, Present, and Future

Antony Jameson
Stanford University
August 23, 2018
Advances in PDEs: Theory, Computation and Application to CFD
Play

Multiscale CFD with Uncertainty Quanification - Application to Biomedicine

George Karniadakis
Brown University
August 22, 2018
Advances in PDEs: Theory, Computation and Application to CFD
Play     Abstract     Slides

A New Numerical Approach to Hyperbolic Conservation Laws

Philip Roe
UNIVERSITY OF MICHIGAN
August 22, 2018
Advances in PDEs: Theory, Computation and Application to CFD
Play

Error inhibiting schemes for differential equations

Adi Ditkowski
Tel Aviv University
August 22, 2018
Advances in PDEs: Theory, Computation and Application to CFD
Play     Abstract     Slides

Entropy stable high order discontinuous Galerkin methods for hyperbolic conservation laws

Chi-Wang Shu
Brown University
August 22, 2018
Advances in PDEs: Theory, Computation and Application to CFD
Play     Abstract     Slides

Large Time Steps for Compressible Flow based on Runge-Kutta Schemes

Eli Turkel
Tel Aviv University
August 21, 2018
Advances in PDEs: Theory, Computation and Application to CFD
Play     Abstract     Slides

Capitalizing on superconvergence for more accurate multi-resolution analysis

Jennifer Ryan
University of East Anglia and Heinrich Heine University
August 21, 2018
Advances in PDEs: Theory, Computation and Application to CFD
Play     Abstract     Slides

A Noble Cause - How Solving an Inverse PDE Problem May Help in the Fight Against Cancer

Jessica Libertini
Virginia Military Institute
August 21, 2018
Advances in PDEs: Theory, Computation and Application to CFD
Play     Abstract

Steady Water Waves

Walter Strauss
Brown University
August 21, 2018
Advances in PDEs: Theory, Computation and Application to CFD
Play     Abstract     Slides

Zero Relaxation Limit

Constantine Dafermos
Brown University
August 21, 2018
Advances in PDEs: Theory, Computation and Application to CFD
Play     Abstract

Using ?1 Regularization to Improve Numerical Partial Differential Equation Solvers

Anne Gelb
Dartmouth College
August 20, 2018
Advances in PDEs: Theory, Computation and Application to CFD
Play     Abstract     Slides

A method of boundary equations for unsteady hyperbolic problems in 3D

Semyon Tsynkov
North Carolina State University
August 20, 2018
Advances in PDEs: Theory, Computation and Application to CFD
Play     Abstract     Slides

Entropy stability for nonlinear systems of conservation laws

Eitan Tadmor
University of Maryland
August 20, 2018
Advances in PDEs: Theory, Computation and Application to CFD
Play     Abstract

Strong Stability Preserving Integrating Factor Runge--Kutta Methods

Sigal Gottlieb
University of Massachusetts Dartmouth
August 20, 2018
Advances in PDEs: Theory, Computation and Application to CFD
Play     Abstract     Slides

Saul Abarbanel- half a century of scientific work

Bertil Gustafsson
Uppsala University
August 20, 2018
Advances in PDEs: Theory, Computation and Application to CFD
Play     Abstract     Slides