25 citations · 62 across the 5 of their papers we have counts for
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First order hyperbolic approach for Anisotropic Diffusion equation
Amareshwara Sainadh Chamarthi, Hiroaki Nishikawa, Kimiya Komurasaki
In this paper, we present a high order finite difference solver for anisotropic diffusion problems based on the first-order hyperbolic system method. In particular, we demonstrate…
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
Steady state simulations} of magnetized electron fluid equations with strong anisotropic diffusion based on the first-order hyperbolic approach is carried out using cell-centered h…
A flux-splitting method for hyperbolic-equation system of magnetized electron fluids in quasi-neutral plasmas
R. Kawashima, K. Komurasaki, T. Schoenherr
A flux-splitting method is proposed for the hyperbolic-equation system (HES) of magnetized electron fluids in quasi-neutral plasmas. The numerical fluxes are split into four catego…
A hyperbolic-equation system approach for magnetized electron fluids in quasi-neutral plasmas
R. Kawashima, K. Komurasaki, T. Schoenherr
A new approach using a hyperbolic-equation system (HES) is proposed to solve for the electron fluids in quasi-neutral plasmas. The HES approach avoids treatments of cross-diffusion…