{"title":"Application of Hybrid RANS/LES Methods for the Simulation of Shock-Induced Turbulent Boundary Layer Separation","authors":"A. I. Troshin, S. V. Bakhne","doi":"10.1134/s2070048224010113","DOIUrl":"https://doi.org/10.1134/s2070048224010113","url":null,"abstract":"<h3 data-test=\"abstract-sub-heading\">Abstract</h3><p>The results of shock-induced turbulent boundary layer separation simulations using scale-resolving methods with wall modelling (WMLES) are presented. A test case is chosen for which experimental data and reference large eddy simulation results are available. The IDDES method based on the SST turbulence model in the WMLES mode is compared with a similar method in which the explicit subgrid scale model is turned off. In the second approach, two schemes of the WENO family are considered. In each case, two grids of different densities are employed. The separation size, pressure, and friction coefficient distributions along the wall, and one-point pressure probability density functions at two reference points are compared. An unexpected result is demonstrated: in all the eddy-resolving simulations, the separation region’s length turns out to be underestimated by 15–28%, and no significant reduction in the error with grid refinement is observed. Possible reasons for this phenomenon are discussed.</p>","PeriodicalId":38050,"journal":{"name":"Mathematical Models and Computer Simulations","volume":"1 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-04-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140801052","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Application of the Harmonic Balance Method to Calculate the First Booster Stage Tonal Noise","authors":"A. A. Rossikhin, V. I. Mileshin","doi":"10.1134/s2070048224010083","DOIUrl":"https://doi.org/10.1134/s2070048224010083","url":null,"abstract":"<h3 data-test=\"abstract-sub-heading\">Abstract</h3><p>The results of the numerical investigation of the tone noise of the first booster stage of a high bypass ratio turbofan in the far field in the approach (landing) operational conditions are presented. The study is performed using the frequency domain numerical method of multistage turbomachines tonal noise simulation, developed at the Baranov Central Institute of Aviation Motors (CIAM). A variant of the method suitable for the calculations in a nonlinear setup is used. The calculation is performed for several blade passages in each row. The harmonic balance method for multitonal disturbances with a frequency mapping is implemented. The results of the calculations are compared with the results of the calculations in the time domain, presented in the previous paper (they were also performed in a nonlinear setup) and with the experimental data obtained at the CIAM acoustic test facility. In general, satisfactory correspondence is found between the data in both cases. The results can be treated as an argument for the validity of the proposed nonlinear frequency domain method of the multistage turbomachinery tone noise calculations.</p>","PeriodicalId":38050,"journal":{"name":"Mathematical Models and Computer Simulations","volume":"85 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-04-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140801068","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
K. V. Belyaev, A. V. Garbaruk, V. D. Golubkov, M. Kh. Strelets
{"title":"Computation of the Evolution of Tollmien–Schlichting Waves Based on Global Stability Analysis","authors":"K. V. Belyaev, A. V. Garbaruk, V. D. Golubkov, M. Kh. Strelets","doi":"10.1134/s2070048224010034","DOIUrl":"https://doi.org/10.1134/s2070048224010034","url":null,"abstract":"<h3 data-test=\"abstract-sub-heading\">Abstract</h3><p>A computational methodology is presented for calculating the spatial evolution of Tollmien–Schlichting (T–S) waves and their amplitude growth-rate factor in substantially nonparallel compressible flows, based on a global stability analysis of stationary solutions of the full Navier–Stokes (N–S) equations. Three stages of this methodology (obtaining a stationary solution, as well as carrying out a global stability analysis and its postprocessing) are described, and the results are presented of its validation based on the comparison of the results of calculating the characteristics of T–S waves on a flat plate with the corresponding results of the classical stability theory in the parallel approximation. An example of calculating the flow around a plate with a rectangular cavity is presented to illustrate the possibility of applying the proposed methodology to nonparallel flows.</p>","PeriodicalId":38050,"journal":{"name":"Mathematical Models and Computer Simulations","volume":"41 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-04-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140806180","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
A. S. Stabnikov, M. Kh. Strelets, A. K. Travin, M. L. Shur
{"title":"Numerical Simulation of the Evolution of a Curved Turbulent Wake Subjected to an Adverse Pressure Gradient","authors":"A. S. Stabnikov, M. Kh. Strelets, A. K. Travin, M. L. Shur","doi":"10.1134/s2070048224010101","DOIUrl":"https://doi.org/10.1134/s2070048224010101","url":null,"abstract":"<h3 data-test=\"abstract-sub-heading\">Abstract</h3><p>The results are presented of the numerical experiments aimed at obtaining detailed and reliable data on the mean and turbulent characteristics of the asymmetric curved turbulent wake behind a flat plate (FP) subjected to an adverse pressure gradient (APG). The computations are performed for the model wake configuration designed earlier by the authors with the use of the scale-resolving zonal Reynolds-averaged Navier–Stokes-improved delayed detached-eddy simulation (RANS-IDDES) approach to represent turbulence. The reliability of the obtained results is confirmed by the grid independence of the obtained solutions, and a comparison of these results with the corresponding results of computations performed with the use of various semiempirical RANS models indicates the insufficient accuracy of the latter and the need for their further improvement.</p>","PeriodicalId":38050,"journal":{"name":"Mathematical Models and Computer Simulations","volume":"21 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-04-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140800941","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Pursuit Problem with an Arbitrary Initial Aiming Angle","authors":"V. Y. Bodryakov","doi":"10.1134/s2070048224020078","DOIUrl":"https://doi.org/10.1134/s2070048224020078","url":null,"abstract":"","PeriodicalId":38050,"journal":{"name":"Mathematical Models and Computer Simulations","volume":"205 2","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-04-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140775953","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Z. Suvorova, I. Mingalev, O. Mingalev, O. I. Ahmetov, L. B. Volkomirskaya, O. A. Gulevich, A. Reznikov
{"title":"Simulation of Propagation of Video Pulse Signals of GPR in the Earth’s Lithosphere","authors":"Z. Suvorova, I. Mingalev, O. Mingalev, O. I. Ahmetov, L. B. Volkomirskaya, O. A. Gulevich, A. Reznikov","doi":"10.1134/s2070048224020182","DOIUrl":"https://doi.org/10.1134/s2070048224020182","url":null,"abstract":"","PeriodicalId":38050,"journal":{"name":"Mathematical Models and Computer Simulations","volume":"317 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-04-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140781843","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
M. Abakumov, S. I. Mukhin, K. M. Mysova, A. Y. Pokladyuk, A. B. Khrulenko
{"title":"Modeling the Dynamics of Substances within a Self-Consistent Model of a Systemic Circle of Blood Circulation","authors":"M. Abakumov, S. I. Mukhin, K. M. Mysova, A. Y. Pokladyuk, A. B. Khrulenko","doi":"10.1134/s2070048224020029","DOIUrl":"https://doi.org/10.1134/s2070048224020029","url":null,"abstract":"","PeriodicalId":38050,"journal":{"name":"Mathematical Models and Computer Simulations","volume":"1 ","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-04-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140779349","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
S. K. Grigoriev, D. A. Zakharov, M. A. Kornilina, M. Yakobovskiy
{"title":"Dynamic Load Balancing Using Adaptive Locally Refined Meshes","authors":"S. K. Grigoriev, D. A. Zakharov, M. A. Kornilina, M. Yakobovskiy","doi":"10.1134/s2070048224020091","DOIUrl":"https://doi.org/10.1134/s2070048224020091","url":null,"abstract":"","PeriodicalId":38050,"journal":{"name":"Mathematical Models and Computer Simulations","volume":"254 ","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-04-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140792213","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"On the Resonant Frequencies of a Partially Shielded Circular Dielectric Cylinder","authors":"G. Abgaryan, Y. V. Shestopalov, K. A. Romanov","doi":"10.1134/s2070048224020042","DOIUrl":"https://doi.org/10.1134/s2070048224020042","url":null,"abstract":"","PeriodicalId":38050,"journal":{"name":"Mathematical Models and Computer Simulations","volume":"426 3","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-04-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140780747","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
V. Mazhukin, A. V. Shapranov, O. N. Koroleva, A. Mazhukin
{"title":"Modification of the Wilson–Frankel Kinetic Model and Atomistic Simulation of the Rate of Melting/Crystallization of Metals","authors":"V. Mazhukin, A. V. Shapranov, O. N. Koroleva, A. Mazhukin","doi":"10.1134/s207004822402011x","DOIUrl":"https://doi.org/10.1134/s207004822402011x","url":null,"abstract":"","PeriodicalId":38050,"journal":{"name":"Mathematical Models and Computer Simulations","volume":"602 ","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-04-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140772808","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}