High-order upwind and non-oscillatory approach for steady state diffusion, advection-diffusion and application to magnetized electrons. - Amareshwara Sainadh Chamarthi; Kimiya Komurasaki; Rei Kawashima (J. Comput. Phys., 2018)

First order hyperbolic approach for Anisotropic Diffusion equation. - Amareshwara Sainadh Chamarthi; Hiroaki Nishikawa; Kimiya Komurasaki (J. Comput. Phys., 2019)

Implicit gradients based novel finite volume scheme for compressible single and multi-component flows. - Amareshwara Sainadh Chamarthi; Steven H. Frankel; Abhishek Chintagunta (CoRR, 2021)

Implicit gradients based novel conservative numerical scheme for compressible flows. - Amareshwara Sainadh Chamarthi; Abhishek Chintagunta; Natan Hoffmann; Hiroaki Nishikawa; Steven H. Frankel (CoRR, 2021)

High-order central-upwind shock capturing scheme using a Boundary Variation Diminishing (BVD) algorithm. - Amareshwara Sainadh Chamarthi; Steven H. Frankel (J. Comput. Phys., 2021)

On the importance of high-frequency damping in high-order conservative finite-difference schemes for viscous fluxes. - Amareshwara Sainadh Chamarthi; Sean Bokor; Steven H. Frankel (J. Comput. Phys., 2022)

A Wave Appropriate Discontinuity Sensor Approach for Compressible Flows. - Amareshwara Sainadh Chamarthi; Natan Hoffmann; Steven H. Frankel (CoRR, 2023)

Efficient high-order gradient-based reconstruction for compressible flows. - Amareshwara Sainadh Chamarthi (J. Comput. Phys., 2023)

Implicit Gradients Based Conservative Numerical Scheme for Compressible Flows. - Amareshwara Sainadh Chamarthi; Natan Hoffmann; Hiroaki Nishikawa; Steven H. Frankel (J. Sci. Comput., 2023)

Centralized gradient-based reconstruction for wall modeled large eddy simulations of hypersonic boundary layer transition. - Natan Hoffmann; Amareshwara Sainadh Chamarthi; Steven H. Frankel (J. Comput. Phys., 2024)

Wave-appropriate multidimensional upwinding approach for compressible multiphase flows. - Amareshwara Sainadh Chamarthi (J. Comput. Phys., 2025)