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Oana
Applied Mathematics Fluid Dynamics Research

Oana Marin

Projects

My projects are driven by the needs of the fluid dynamics community and are focused on effcient and accurate mathematical solutions.

Numerical Analysis

  • Spectral Element Methods
  • Boundary Integral Methods
  • Matrix-free preconditioners
  • Matrix Calculus
  • Functional Analysis

Mathematical Modeling

  • Multiscale phenomena
  • Multiphase flows
  • Microscale particles
  • Non-newtonian fluids
  • Interface tracking

PDE-constrained optimization

  • Consistent adjoints
  • Automatic Differentiation
  • Reduced-Space optmization
  • Vectorized computations
  • Continous adjoints

Fluid Mechanics

  • Turbulent flows
  • Drops and bubbles
  • Nucleation
  • Transition to chaos
  • Reduced order models

Data Postprocessing

  • Statistical studies
  • Modal analysis
  • Modal Decomposition
  • Data compression
  • Error tracking

Data Assimilation

  • Ensemble Kalman
  • Variational DA
  • Localization
  • Machine Learning
  • Model reduction

Work Process

01

Prototype

Typically MATLAB

02

Validate

Test and assess accuracy and efficiency

03

Scale-up

Implement in PETSc to perform studies at scale

04

Publish

Promote work

Oana Marin

Publications

My main focus lies in developing frameworks accross disciplines, and these ideas may be published in journals from Computational Fluid Mechanics to Numerical Analysis and Computer Science

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Turbulent duct flow

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Boundary integral quadrature

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POD on bent pipe

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Non-linear checkpointing

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Integration of singularities

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Pebble bed reactor simulation

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Data analysis on compressed sets

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Parallel scalability study

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Nonlinear unsteady PDE constrained optimization

Oana Marin