Iterative Relaxation Method to Obtain Global Transonic Flows around Compact Objects

• Published in: Lobachevskii journal of mathematics Vol. 46; no. 1; pp. 143 - 156
• Main Authors: Sarkar, Shilpa, Kulikov, I. M.
• Format: Journal Article
• Language: English
• Published: Moscow Pleiades Publishing 01.01.2025; Springer Nature B.V
• Subjects: Algebra; Algorithms; Analysis; Angular momentum; Boundary conditions; Bremsstrahlung; Centrifugal force; Compacts; Geometry; Mathematical Logic and Foundations; Mathematics; Mathematics and Statistics; Methodology; Probability Theory and Stochastic Processes; Relaxation method (mathematics); Transonic flow; accretion; transonic; shocks; winds; compact objects; 2010 Mathematics Subject Classification: 68-04

Flows around compact objects are necessarily transonic. Due to their dissipative nature, finding of sonic points is not trivial. [ 1 ] in 2003 (BL03) proposed a novel methodology to obtain global transonic solutions, using iterative relaxation technique and exploiting the inner boundary conditions o...