THE SCHEME OF NUMERICAL INTEGRATION OF SYSTEM EQUATIONS OF MULTIPHASE FLOWS IN EQUILIBRIUM BAROTROPIC APPROXIMATION
In the paper, an economical integration scheme of a differential equation system has been proposed for the model of multiphase medium with a common pressure in liquids. The algorithm allows someone to consider various cases of multiphase medium flows with formation of any structure by the number of...
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| Format: | Article |
| Language: | English |
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Peter the Great St.Petersburg Polytechnic University
2019-09-01
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| Series: | St. Petersburg Polytechnical University Journal: Physics and Mathematics |
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| Online Access: | https://physmath.spbstu.ru/article/2019.45.02/ |
| _version_ | 1818733971773587456 |
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| author | Bulovich Sergei |
| author_facet | Bulovich Sergei |
| author_sort | Bulovich Sergei |
| collection | DOAJ |
| description | In the paper, an economical integration scheme of a differential equation system has been proposed for the model of multiphase medium with a common pressure in liquids. The algorithm allows someone to consider various cases of multiphase medium flows with formation of any structure by the number of liquids under study and admits an asymptotic transition to a single-fluid model. The algebraic balance relation of the fluid volume fraction was stated through the form of a differential equation in pressure. The correctness of the Cauchy problem for an equation system was remade using repeated derivatives of the sought-for functions with respect to a spatial coordinate. The Riemann problem in the varying-area channel at various values of liquid pressure and its volume fraction on the different sides of a diaphragm in the three-fluid version was solved. |
| first_indexed | 2024-12-17T23:57:57Z |
| format | Article |
| id | doaj.art-8df92292f97f40f1bcc0dba2d054efda |
| institution | Directory Open Access Journal |
| issn | 2405-7223 |
| language | English |
| last_indexed | 2024-12-17T23:57:57Z |
| publishDate | 2019-09-01 |
| publisher | Peter the Great St.Petersburg Polytechnic University |
| record_format | Article |
| series | St. Petersburg Polytechnical University Journal: Physics and Mathematics |
| spelling | doaj.art-8df92292f97f40f1bcc0dba2d054efda2022-12-21T21:28:01ZengPeter the Great St.Petersburg Polytechnic UniversitySt. Petersburg Polytechnical University Journal: Physics and Mathematics2405-72232019-09-0112310.18721/JPM.1230220714726THE SCHEME OF NUMERICAL INTEGRATION OF SYSTEM EQUATIONS OF MULTIPHASE FLOWS IN EQUILIBRIUM BAROTROPIC APPROXIMATIONBulovich Sergei0Peter the Great St. Petersburg Polytechnic UniversityIn the paper, an economical integration scheme of a differential equation system has been proposed for the model of multiphase medium with a common pressure in liquids. The algorithm allows someone to consider various cases of multiphase medium flows with formation of any structure by the number of liquids under study and admits an asymptotic transition to a single-fluid model. The algebraic balance relation of the fluid volume fraction was stated through the form of a differential equation in pressure. The correctness of the Cauchy problem for an equation system was remade using repeated derivatives of the sought-for functions with respect to a spatial coordinate. The Riemann problem in the varying-area channel at various values of liquid pressure and its volume fraction on the different sides of a diaphragm in the three-fluid version was solved.https://physmath.spbstu.ru/article/2019.45.02/multi-fluid modelnumerical simulationcorrectness of cauchy problemeconomical algorithm |
| spellingShingle | Bulovich Sergei THE SCHEME OF NUMERICAL INTEGRATION OF SYSTEM EQUATIONS OF MULTIPHASE FLOWS IN EQUILIBRIUM BAROTROPIC APPROXIMATION St. Petersburg Polytechnical University Journal: Physics and Mathematics multi-fluid model numerical simulation correctness of cauchy problem economical algorithm |
| title | THE SCHEME OF NUMERICAL INTEGRATION OF SYSTEM EQUATIONS OF MULTIPHASE FLOWS IN EQUILIBRIUM BAROTROPIC APPROXIMATION |
| title_full | THE SCHEME OF NUMERICAL INTEGRATION OF SYSTEM EQUATIONS OF MULTIPHASE FLOWS IN EQUILIBRIUM BAROTROPIC APPROXIMATION |
| title_fullStr | THE SCHEME OF NUMERICAL INTEGRATION OF SYSTEM EQUATIONS OF MULTIPHASE FLOWS IN EQUILIBRIUM BAROTROPIC APPROXIMATION |
| title_full_unstemmed | THE SCHEME OF NUMERICAL INTEGRATION OF SYSTEM EQUATIONS OF MULTIPHASE FLOWS IN EQUILIBRIUM BAROTROPIC APPROXIMATION |
| title_short | THE SCHEME OF NUMERICAL INTEGRATION OF SYSTEM EQUATIONS OF MULTIPHASE FLOWS IN EQUILIBRIUM BAROTROPIC APPROXIMATION |
| title_sort | scheme of numerical integration of system equations of multiphase flows in equilibrium barotropic approximation |
| topic | multi-fluid model numerical simulation correctness of cauchy problem economical algorithm |
| url | https://physmath.spbstu.ru/article/2019.45.02/ |
| work_keys_str_mv | AT bulovichsergei theschemeofnumericalintegrationofsystemequationsofmultiphaseflowsinequilibriumbarotropicapproximation AT bulovichsergei schemeofnumericalintegrationofsystemequationsofmultiphaseflowsinequilibriumbarotropicapproximation |