Numerical verification of weak solutions of a Crocco boundary problem (typical) using an implicit second order difference scheme

Autor: Petrichenko Mikhail, Kotov Eugene
Jazyk: English<br />Russian
Rok vydání: 2019
Předmět:
Zdroj: St. Petersburg Polytechnical University Journal: Physics and Mathematics, Vol 12, Iss 2 (2019)
Druh dokumentu: article
ISSN: 2405-7223
DOI: 10.18721/JPM.12205
Popis: To verify the solution of a typical Crocco boundary problem, a numerical experiment was performed using an implicit second-order difference scheme. It is shown that a numerical solution approximates a weak solution of a typical Crocco limit problem, except for the right end of the integration interval.The convergence in itself of iterative procedures for numerical solution ensures convergence to a weak solution of the typical Crocco limit problem. Calculation errors at the right end of the integration gap can be reduced by switching to high-order differences.
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