Advancing Computational Mass Transfer: Benchmarking Advection-Diffusion in SPH

Task

Research Context:

The advection-diffusion equation, a critical component of the conservation of species equation, is underexplored in computational fluid dynamics (CFD) despite its importance in modeling processes such as COâ‚‚ absorption, pollutant dispersion, and chemical species diffusion. When coupled with source terms, it facilitates studies on chemical kinetics.

Smoothed Particle Hydrodynamics (SPH) is a Lagrangian, mesh-free CFD method gaining traction due to its adaptability for complex geometries and multiphase flows. However, the implementation and benchmarking of the advection-diffusion equation in SPH remain limited. This research aims to benchmark the implementation in our in-house SPH solver, turboSPH, against established commercial/open-source CFD tools (e.g., COMSOL) and Finite Difference Methods (FDM) in 1D and 2D settings. Key objectives include assessing numerical accuracy, stability, and computational performance.

Candidate Requirements:

  1. Technical Skills:
    • Proficiency in CFD tools (e.g., COMSOL) and numerical methods
    • Experience with Linux environments and programming in C++ or Python
  2. Domain Knowledge:
    • Strong understanding of CFD, preferably Computational Mass Transfer (CMT)
    • Interest in numerical modeling and post-processing techniques