@article{Bychin_Gorelikov_Ryakhovsky_2022, title={Discretization Scheme of the Induction Equation on a Staggered Gridin Orthogonal Curvilinear Coordinates}, volume={3}, url={https://en.jcyb.ru/nisii_tech/article/view/125}, DOI={10.51790/2712-9942-2022-3-2-8}, abstractNote={<p>A discretization scheme of the magnetic field induction equation is considered for the model of nonideal magnetic hydrodynamics within the framework of the control volume method. A constrained transfer algorithm is used to discretize the induction equation, which provides a solenoidal numerical solution. A detailed elaboration of the discrete analog of the induction equation in arbitrary orthogonal curvilinear coordinates for staggered structured computational grids is presented. The convective flows in the induction equation are approximated with the counterflow scheme using quadratic interpolation and the deferred correction method.</p> <div id="gtx-trans" style="position: absolute; left: -12px; top: 36px;"> <div class="gtx-trans-icon"> </div> </div>}, number={2}, journal={Russian Journal of Cybernetics}, author={Bychin, Igor V. and Gorelikov, Andrey V. and Ryakhovsky, Aleksey V.}, year={2022}, month={May}, pages={60-73} }