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Computational Physicist | Fluid Dynamics Researcher | Software Developer

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Abhijeet Minz

About Me

PhD Scholar in Applied Mathematics at the University of Edinburgh, specializing in geophysical fluid dynamics. My expertise includes Lagrangian averaging within the Generalised Lagrangian Mean (GLM) framework, geometric formulation of fluid models, asymptotic analysis, wave–mean flow interaction, and computational methods using Fourier pseudo-spectral solvers.

Email: abhijeet.minz@ED.ac.uk

Research Interests

Geophysical fluid dynamics, climate and ocean modelling, computational mathematics

Technical Skills

Programming

  • Python (NumPy, SciPy, Matplotlib)
  • MATLAB (basic)
  • Mathematica
  • C++, C, Java, SQL

Methods & Tools

  • FFT-based pseudo-spectral methods
  • Numerical PDE solvers
  • Finite Element Methods (FEM)
  • Finite Difference Methods (FDM)
  • LaTeX, Git, Linux

Education

PhD in Applied Mathematics

Mathematical Modelling, Analysis and Computation (MAC-MIGS CDT)

University of Edinburgh | Sept 2022 – Sept 2026 (expected)

Thesis: Lagrangian averaging with exponential filters

Supervisors: Prof. Jacques Vanneste & Dr. Lois Baker

  • Geometric Fluid Dynamics (variational principles, conservation laws)
  • Numerical Methods for Partial Differential Equations
  • Finite Element Methods (weak formulations, Galerkin methods)
  • Asymptotic Methods and Perturbation Theory
  • Differential Topology

MSc in Mathematics (Distinction)

Bangalore University, India

2018 – 2020

Dissertation: Basset Memory Integral - Analysis of the Maxey–Riley equation for particle motion in fluid flow

BSc in Physics, Maths and Computer Science (Distinction)

Bangalore University, India

2015 – 2018

Projects: Maxwell's equations study; DBMS user-interface using Visual Studio, Visual Basic, and MySQL

Publications & Research

Efficient Lagrangian averaging with exponential filters

Minz, A., Baker, L. E., Kafiabad, H. A., & Vanneste, J. (2025)

Physical Review Fluids, 10, 074902

DOI: 10.1103/4d4f-38wx

Read Publication

Volume-preserving Lagrangian averaging using polar factorisation

Minz, A., Baker, L. E., & Vanneste, J.

Manuscript in preparation (estimated May 2026)

To be submitted to Physical Review Fluids

Code and data for "Efficient Lagrangian averaging with exponential filters"

Minz, A., Baker, L., Kafiabad, H., & Vanneste, J. (2025) - v1.0.1

DOI: 10.5281/zenodo.15213015

View on Zenodo

Research Projects

Lagrangian Averaging in GLM Framework

Developed models for Lagrangian averaging with exponential filters and volume-preserving techniques. Implemented FFT-based pseudo-spectral solvers for rotating shallow water equations.

Spatio-temporal Modelling

Industrial project with James Hutton Institute on spatio-temporal modelling of aphid–parasitoid dynamics for ecological prediction.

Data Assimilation & Inverse Problems

Taster project in training on data assimilation techniques and inverse problem methodologies.

Conferences & Talks

Ocean Science Meeting, Glasgow

Feb 2025 | Poster: "Volume-preserving Lagrangian averaging using polar factorisation"

ICTW2025, Durham University

July 2025 | Talk: "Lagrangian averaging"

North-East GFD Meeting, Edinburgh

June 2025 | Talk: "Exponential Lagrangian averaging"

Scottish Fluid Mechanics Meeting, Glasgow

May 2025 | Talk: "Exponential Lagrangian averaging"

North-East GFD Meeting, Edinburgh

June 2024 | Talk: "Lagrangian averaging of tensor fields"

MAC-MIGS / Utrecht / CWI Workshop

May 2024 | Talk: "Lagrangian averaging of scalar fields"

Teaching Experience

Tutor, University of Edinburgh

  • Introduction to Mathematics at University (Sept 2025 – Nov 2025)

    Taught mathematical reasoning, proof techniques, and foundational concepts

  • Numerical ODEs (Jan 2025 – March 2025)

    Focused on implementing numerical solvers for differential equations in Python

  • Introduction to Linear Algebra (Sept 2023 – Nov 2023)

    Led weekly tutorials for 10–15 students, facilitating problem-solving and discussion

  • Honours Differential Equations (Sept 2023 – Nov 2023)

    Supported development of analytical techniques and exam preparation

Mathematics Tutor (Outreach)

Mount Fort School, India (2021)

Provided mathematics instruction in an outreach program

Get In Touch

Feel free to reach out for collaborations or just a friendly hello!

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