Undergraduate Student - PINNs for pressure wave propagation in heterogeneous media (R0)

Job Reference

332_24_CASAE_WP_R0

Position

Undergraduate Student - PINNs for pressure wave propagation in heterogeneous media (R0)

Closing Date

Wednesday, 05 June, 2024
Reference: 332_24_CASAE_WP_R0
Job title: Undergraduate Student - PINNs for pressure wave propagation in heterogeneous media (R0)

About BSC

The Barcelona Supercomputing Center - Centro Nacional de Supercomputación (BSC-CNS) is the leading supercomputing center in Spain. It houses MareNostrum, one of the most powerful supercomputers in Europe, was a founding and hosting member of the former European HPC infrastructure PRACE (Partnership for Advanced Computing in Europe), and is now hosting entity for EuroHPC JU, the Joint Undertaking that leads large-scale investments and HPC provision in Europe. The mission of BSC is to research, develop and manage information technologies in order to facilitate scientific progress. BSC combines HPC service provision and R&D into both computer and computational science (life, earth and engineering sciences) under one roof, and currently has over 900 staff from 55 countries.

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We are particularly interested for this role in the strengths and lived experiences of women and underrepresented groups to help us avoid perpetuating biases and oversights in science and IT research. In instances of equal merit, the incorporation of the under-represented sex will be favoured.

Context And Mission

The student intern will focus on how to reduce the computational cost of physics-based simulation of acoustic wave in various propagation media, by means of Physics-Informed Neural Networks (PINNs). Neural networks are seen as universal function simulators capable f approximating the PDF's solution function. In this work the NNs will be designed and trained to take in account physical laws, boundary conditions as well as propagation medium heterogeneity.

Key Duties

  • Become familiar with several concepts:
    - the wave equation and the impulsive response of an isotropic elastic medium
    (Helmholtz equation for acoustic wave propagation in 2D) in the presence of a point source.
    - its solution and Python implementation using finite differences, in order to be able to generate training data for machine learning purposes.
  • Explore how to:
    - implement the physics-based Helmholtz equation's solution using finite differences
    - implement an FFNNs using available Python libraries and framework, e.g.,
    TensorFlow, to solve the corresponding PDEs
    - distribute and/or parallelize the training of the FFNN, using BSC’s supercomputing infrastructure, namely either the ACC of GPP partitions of Marenostrum 5 (MN5) for homogeneous propagation media, specifying boundary conditions (BCs) implicitly in the training data and plotting result and errors specifically with regard to BCs.
  • Parametrize the propagation media and include the possibility of smoothly varying material properties in both the physics based finite difference code, as
    well as in the FFNN (PINN).
  • Prepare a situation and final report to be delivered on the last day of the student's interneship. The report should include (i) a structured bibliography on salient questions relevant to the technical work to carry out, (ii) a description of methodologies used throughout the interneship, (iii) any developped code, and (iv) results.
  • Code developped during the interneship will be stored in the https://gitlab.bsc.es/wavephenomenagroup/ version control repository.

Requirements

  • Education
    • Course subjects' concentration in computational mathematics and data analysis.
  • Essential Knowledge and Professional Experience
    • Relevant scientific project experience gained through recent academic courses are positively valued in the following areas: complex data analysis, machine learning, deep learning, high performance computing, distributed computing paradigms (e.g. OpenMP, OpenACC, MPI)
  • Additional Knowledge and Professional Experience
    • Fluent written and spoken English
    • Collaborative and version controlled work environments (e.g. gitlab, github, etc.)
    • Unix/Linux and any related scripting shell
    • Python 3, C/C++
    • Differential calculus
    • Basic solution of the Helmholtz equation and qualitative concepts pertaining to wave propagation, useful in describing the dynamic behavior of waves, including phenomena such as wave dispersion, wave interference, and the generation of harmonics.
  • Competences
    • Good communication and presentation skills.
    • Ability to work both independently and within a team.

Conditions

  • The position will be located at BSC within the CASE Department
  • We offer a full-time contract (37.5h/week), a good working environment, a highly stimulating environment with state-of-the-art infrastructure, flexible working hours, extensive training plan, restaurant tickets, private health insurance, support to the relocation procedures
  • Duration: Open-ended contract due to technical and scientific activities linked to the project and budget duration
  • Holidays: 23 paid vacation days plus 24th and 31st of December per our collective agreement
  • Salary: we offer a competitive salary commensurate with the qualifications and experience of the candidate and according to the cost of living in Barcelona
  • Starting date: 01/07/2024

Applications procedure and process

All applications must be made through BSC website and contain:

  • A full CV in English including contact details
  • A Cover Letter with a statement of interest in English, including two contacts for further references - Applications without this document will not be considered

    In accordance with the OTM-R principles, a gender-balanced recruitment panel is formed for every vacancy at the beginning of the process. After reviewing the content of the applications, the panel will start the interviews, with at least one technical and one administrative interview. A profile questionnaire as well as a technical exercise may be required during the process.

    The panel will make a final decision and all candidates who had contacts with them will receive a feedback with details on the acceptance or rejection of their profile.

    At BSC we are seeking continuous improvement in our recruitment processes, for any suggestions or feedback/complaints about our Recruitment Processes, please contact recruitment [at] bsc [dot] es.

    For more information follow this link

  • Deadline

    The vacancy will remain open until a suitable candidate has been hired. Applications will be regularly reviewed and potential candidates will be contacted.

    OTM-R principles for selection processes

    BSC-CNS is committed to the principles of the Code of Conduct for the Recruitment of Researchers of the European Commission and the Open, Transparent and Merit-based Recruitment principles (OTM-R). This is applied for any potential candidate in all our processes, for example by creating gender-balanced recruitment panels and recognizing career breaks etc.
    BSC-CNS is an equal opportunity employer committed to diversity and inclusion. We are pleased to consider all qualified applicants for employment without regard to race, color, religion, sex, sexual orientation, gender identity, national origin, age, disability or any other basis protected by applicable state or local law.
    For more information follow this link

    Application Form

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