SCHEME WITH CUSTOMIZABLE DISSIPATIVE PROPERTIES AS APPLIED TO INTERACTION PROBLEM BETWEEN SHOCKWAVE AND HELIUM BUBBLE
Subject of Research.The paper presents the study of the scheme with customizable dissipative properties for compressible multicomponent flows in case of an interaction between a shockwave and a helium bubble. Method. We chose a two-step TVD Runge-Kutta time-marching scheme. The spatial difference op...
| Main Authors: | , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Saint Petersburg National Research University of Information Technologies, Mechanics and Optics (ITMO University)
2018-08-01
|
| Series: | Naučno-tehničeskij Vestnik Informacionnyh Tehnologij, Mehaniki i Optiki |
| Subjects: | |
| Online Access: | https://ntv.ifmo.ru/file/article/18246.pdf |
| _version_ | 1811263820855771136 |
|---|---|
| author | Sadin D.V. Davidchuk V.A. |
| author_facet | Sadin D.V. Davidchuk V.A. |
| author_sort | Sadin D.V. |
| collection | DOAJ |
| description | Subject of Research.The paper presents the study of the scheme with customizable dissipative properties for compressible multicomponent flows in case of an interaction between a shockwave and a helium bubble. Method. We chose a two-step TVD Runge-Kutta time-marching scheme. The spatial difference operator is splitting by the physical processes at each time step using an adaptive artificial viscosity of the Christensen type and TVD-reconstruction of flows by a weighted linear combination of upwind and central approximations of convective terms with flux limiter. To suppress the oscillations at the gases interface we used an Abgrall nonconservative advection equation. Main Results. Numerical convergence in the norm L1 is shown on the example of the one-dimensional Karni and Quirk test problem. We have performed a comparison of the proposed scheme and the finite-volume WENO type method of Coralic and Colonius on the same resolution grids and for the same Courant number. The presented scheme requires significantly lower computational costs for the resolution of the shock-wave pattern and vortex formation details. Practical Relevance. The scheme with customizable dissipative properties can be recommended for practical calculations of the interaction between shockwaves and gas interfaces of different physical properties, wave interference and vortex formation. |
| first_indexed | 2024-04-12T19:53:22Z |
| format | Article |
| id | doaj.art-75d3f9a91af94043a52c4feabe8d7c5d |
| institution | Directory Open Access Journal |
| issn | 2226-1494 2500-0373 |
| language | English |
| last_indexed | 2024-04-12T19:53:22Z |
| publishDate | 2018-08-01 |
| publisher | Saint Petersburg National Research University of Information Technologies, Mechanics and Optics (ITMO University) |
| record_format | Article |
| series | Naučno-tehničeskij Vestnik Informacionnyh Tehnologij, Mehaniki i Optiki |
| spelling | doaj.art-75d3f9a91af94043a52c4feabe8d7c5d2022-12-22T03:18:46ZengSaint Petersburg National Research University of Information Technologies, Mechanics and Optics (ITMO University)Naučno-tehničeskij Vestnik Informacionnyh Tehnologij, Mehaniki i Optiki2226-14942500-03732018-08-011861060106510.17586/2226-1494-2018-18-6-1060-1065SCHEME WITH CUSTOMIZABLE DISSIPATIVE PROPERTIES AS APPLIED TO INTERACTION PROBLEM BETWEEN SHOCKWAVE AND HELIUM BUBBLESadin D.V.Davidchuk V.A.Subject of Research.The paper presents the study of the scheme with customizable dissipative properties for compressible multicomponent flows in case of an interaction between a shockwave and a helium bubble. Method. We chose a two-step TVD Runge-Kutta time-marching scheme. The spatial difference operator is splitting by the physical processes at each time step using an adaptive artificial viscosity of the Christensen type and TVD-reconstruction of flows by a weighted linear combination of upwind and central approximations of convective terms with flux limiter. To suppress the oscillations at the gases interface we used an Abgrall nonconservative advection equation. Main Results. Numerical convergence in the norm L1 is shown on the example of the one-dimensional Karni and Quirk test problem. We have performed a comparison of the proposed scheme and the finite-volume WENO type method of Coralic and Colonius on the same resolution grids and for the same Courant number. The presented scheme requires significantly lower computational costs for the resolution of the shock-wave pattern and vortex formation details. Practical Relevance. The scheme with customizable dissipative properties can be recommended for practical calculations of the interaction between shockwaves and gas interfaces of different physical properties, wave interference and vortex formation.https://ntv.ifmo.ru/file/article/18246.pdfscheme with customizable dissipative propertiesmulticomponent gasesshockwavehelium bubble |
| spellingShingle | Sadin D.V. Davidchuk V.A. SCHEME WITH CUSTOMIZABLE DISSIPATIVE PROPERTIES AS APPLIED TO INTERACTION PROBLEM BETWEEN SHOCKWAVE AND HELIUM BUBBLE Naučno-tehničeskij Vestnik Informacionnyh Tehnologij, Mehaniki i Optiki scheme with customizable dissipative properties multicomponent gases shockwave helium bubble |
| title | SCHEME WITH CUSTOMIZABLE DISSIPATIVE PROPERTIES AS APPLIED TO INTERACTION PROBLEM BETWEEN SHOCKWAVE AND HELIUM BUBBLE |
| title_full | SCHEME WITH CUSTOMIZABLE DISSIPATIVE PROPERTIES AS APPLIED TO INTERACTION PROBLEM BETWEEN SHOCKWAVE AND HELIUM BUBBLE |
| title_fullStr | SCHEME WITH CUSTOMIZABLE DISSIPATIVE PROPERTIES AS APPLIED TO INTERACTION PROBLEM BETWEEN SHOCKWAVE AND HELIUM BUBBLE |
| title_full_unstemmed | SCHEME WITH CUSTOMIZABLE DISSIPATIVE PROPERTIES AS APPLIED TO INTERACTION PROBLEM BETWEEN SHOCKWAVE AND HELIUM BUBBLE |
| title_short | SCHEME WITH CUSTOMIZABLE DISSIPATIVE PROPERTIES AS APPLIED TO INTERACTION PROBLEM BETWEEN SHOCKWAVE AND HELIUM BUBBLE |
| title_sort | scheme with customizable dissipative properties as applied to interaction problem between shockwave and helium bubble |
| topic | scheme with customizable dissipative properties multicomponent gases shockwave helium bubble |
| url | https://ntv.ifmo.ru/file/article/18246.pdf |
| work_keys_str_mv | AT sadindv schemewithcustomizabledissipativepropertiesasappliedtointeractionproblembetweenshockwaveandheliumbubble AT davidchukva schemewithcustomizabledissipativepropertiesasappliedtointeractionproblembetweenshockwaveandheliumbubble |