Research Interest:

Climate Modeling, Numerical Weather Prediction

Numerical Methods based on Conservation Laws:-

Discontinuous Galerkin (DG) Methods

Finite Volume Methods (Eulerian and Lagrangian)

Spectral Finite-Volume methods (SFV)

Non-Oscillatory methods (WENO Class)

Cell-Integrated Semi-Lagrangian Methods (CISL)

Conservative Cascade Schemes (PPM or PHM based)

Conservative Transport and Monotonic limiting

Global Shallow Water (SW) Modeling

Conservative Remapping on Spherical grids

High-Order Methods, High-Performance Computing

Shallow Water Model Simulations (Movies) on the Sphere with DG method

Scalar Advection of a Cosine Bell (Williamson Test Case-1)

Deformational flow with Moving Vortices (A New Challenging Test Case!)

Flow Over an Isolated Mountain (Williamson SW Test Case-5)

Rossby-Haurwitz Waves (SW Test Case-6)

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