High-Order CFD
High-accuracy numerical methods for incompressible and compressible flows
Overview
We develop high-order accurate numerical schemes for simulating complex fluid systems with emphasis on minimising numerical dissipation while preserving conservation properties. Central to our work is the EDAC (Entropically Damped Artificial Compressibility) formulation, which enables robust pressure coupling in incompressible flows, and skew-symmetric finite-difference schemes that ensure long-time kinetic energy conservation in turbulent simulations.
Governing Equation
Incompressible Navier–Stokes
Methods
- 8th-order explicit finite-difference schemes in skew-symmetric form
- EDAC formulation for incompressible pressure-velocity coupling
- Curvilinear coordinate transformation with metric identity enforcement
- Immersed boundary treatment for complex geometries
- Scalable MPI-based domain decomposition
Key Results
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Convergence / spectral resolution plots
Add figures and result descriptions here