2015 Fiscal Year Annual Research Report
工学応用に向けたマッハ統一多相流数値モデルの開発研究
| Project/Area Number |
15J09915
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| Research Institution | Tokyo Institute of Technology |
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Principal Investigator |
謝 彬 東京工業大学, 大学院総合理工学研究科, 特別研究員(DC2)
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| Project Period (FY) |
2015-04-24 – 2017-03-31
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| Keywords | multi-moment / finite volume method / unstructured hybrid grid / interface capturing / multi-phase flow / high Reynolds number / PISO |
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| Outline of Annual Research Achievements |
In this year, we have made great progress to my research entitled "A practical Mach unified multiphase numerical model for industrial applications". For the purpose of this study, the following efforts have been made. (1) We have extended volume integrated average and point value based multi-moment (VPM) method to hybrid arbitrary unstructured grids. We have proposed further improved multi-moment constrained finite volume method with solution points at center and vertices (MCV-SPCV) scheme to enhance numerical accuracy and robustness. (2) We have extended unstructured multi-dimensional tangent of hyperbola interface capturing (UMTHINC) scheme to hybrid arbitrary unstructured grids where the moving interface can be capturing with faithful geometry without complexity. (3) We have developed two class of numerical mode for incompressible fluid dynamics based on solution procedure of fractional step(FS) and Pressure-Implicit Operator Splitting (PISO) algorithm. Based on spatial discretization of VPM method, the new developed models show significant improvement in numerical accuracy and robustness compared with conventional finite volume method (FVM). (4) We have integrated VPM method and UMTHINC scheme to develop incompressible interface multiphase solver on hybrid arbitrary unstructured grids. The present model provides sufficiently accurate and robust solution which is a flexible and versatile numerical framework of practical significance for practical applications.
Our achievements have been submitted to several journal papers and reported in three international conferences.
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| Current Status of Research Progress |
Current Status of Research Progress
1: Research has progressed more than it was originally planned.
Reason
We have overcome the major difficulties for spatial discretization and interface capturing techniques, all of which have been extended to hybrid arbitrary unstructured grids including triangular and quadrilateral elements in 2D and tetrahedral, hexahedral, pyramidal and prismatic elements in 3D. In additional to research plan, we have further proposed multi-moment constrained finite volume method with solution points at center and vertices (MCV-SPCV) scheme and incompressible solver based on Pressure-Implicit Operator Splitting (PISO) algorithm. These new developed methods considerably enlarge flexibility and practicality of present framework and provide firm basis for the ultimate target of this study.
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| Strategy for Future Research Activity |
As the rest of present study, we plan to complete it within next year as follows. (1) We will present quadratic unstructured multi-dimensional tangent of hyperbola interface capturing (QUMTHINC) scheme to tracking moving interface. The quadratic interface reconstruction on unstructured grid gives rise to difficulties of intricate geometrical manipulation by piecewise linear interface calculation (PLIC) method but can be circumvented readily by the use of present THINC scheme. (2) We will propose hybrid pressure-density-based Mach uniform algorithm on unstructured grids. The new developed model works for all Mach flow and overcomes singularity between incompressible and compressible fluid dynamics. (3) We will develop the practical Mach unified multiphase numerical for industrial applications by combining Mach uniform fluid solver with interface capturing schemes of UMTHINC/QUMTHINC scheme. The resultant numerical model is expected to resolve interfacial multiphase fluid for wide spectrum Mach number with complex geometry.
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Research Products
(8 results)
