The Newsletter 2020-09-30
Invitation Numerical Analysis Seminar October 23, 2020


Dear all,

We are happy to announce a new series of DCSE seminars: Numerical Analysis Seminar Series.  The seminars will take place in an online setting and you are all cordially invited to attend.

We look forward to seeing you there,

Kind regards on behalf of the organization,

 

TU Delft | Institute for Computational Sciences and Engineering (DCSE)

Best regards,

Deepesh Toshniwal

Kristof Cools

Marieke Kootte

 

Invitation Numerical Analysis Seminar 

October 23rd

Our guest is professor Gianluigi Rozza from SISSA Institute of Advanced Sciences and will be speaking about: 

State of the art and perspectives for reduced order methods in computational fluid dynamics

Date: October 23, 2020
Time: 12:30 – 13:30 

Register herean invite will be sent one day upfront or can be found in your calendar if you are from the NA section of DIAM.

 

Abstract:

We provide the state of the art of Reduced Order Methods (ROM) for parametric Partial Differential Equations (PDEs), and we focus on some perspectives in their current trends and developments, with a special interest in parametric problems arising in offline-online Computational Fluid Dynamics (CFD).

 

Efficient parametrizations (random inputs, geometry, physics) are very important to be able to properly address an offline-online decoupling of the computational procedures and to allow competitive computational performances. Current ROM developments in CFD include: a better use of stable high fidelity methods, considering also spectral element method and finite volume discretisations, to enhance the quality of the reduced model too, and allowing to incorporate some turbulent patterns and increasing the Reynolds number; more efficient sampling techniques to reduce the number of the basis functions, retained as snapshots, as well as the dimension of online systems; the improvements of the certification of accuracy based on residual based error bounds and of the stability factors, as well as the guarantee of the stability of the approximation with proper space enrichments. For nonlinear systems, also the investigation on bifurcations of parametric solutions are crucial and they may be obtained thanks to a reduced eigenvalue analysis of the linearised operator. All the previous aspects are very important in CFD problems to focus in real time on complex parametric industrial, environmental and biomedical flow problems, or even in a control flow setting. Model flow problems will focus on few benchmark, as well as on simple fluid-structure interaction problems and shape optimisation applied to industrial problems.

 

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The NA seminars are organized on a monthly base to showcase and foster state-of-the-art research in the fields of computational sciences and engineering, mathematical modelling and applied mathematics. Student participation is especially encouraged — this will be the perfect place to learn about the breadth of exciting Numerical Analysis-related research being pursued internationally. Note that all graduate students will also be able to obtain 1 Graduate School credit from the Graduate School EEMCS for attending 6 seminars from the series. Please let us know if you have proposals for possible speakers (e.g., your existing collaborators).

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