Bakhvalov Pavel Alekseevich

Publications in Math-Net.Ru

1. On stability and accuracy of finite-volume schemes on non-uniform meshes
   
   Keldysh Institute preprints, 2024, 004, 39 pp.
2. On evaluation of the solution of Gaussian impulse propagation
   
   Keldysh Institute preprints, 2022, 075, 44 pp.
3. On the use of a cell-centered finite-volume scheme on prismatic meshes in boundary layers
   
   Keldysh Institute preprints, 2021, 013, 44 pp.
4. Accuracy analysis and improvement for the cell-centered scheme with the quasi-one-dimensional reconstriction
   
   Keldysh Institute preprints, 2021, 009, 32 pp.
5. On analytical families of matrices generating bounded semigroups
   
   Sib. Zh. Vychisl. Mat., 24:1 (2021),  3–16
6. Method of local element splittings for diffusion terms discretization in edge-bases schemes
   
   Keldysh Institute preprints, 2020, 079, 43 pp.
7. Evaluation of the solution of the Gaussian impulse diffraction inside a sector with the angle $2\pi/n$ using its integral representation
   
   Keldysh Institute preprints, 2020, 015, 23 pp.
8. Evaluation of the solutions of Gaussian impulse propagation and diffraction on a corner $2\pi/n$
   
   Keldysh Institute preprints, 2020, 003, 36 pp.
9. On using artificial viscosity in edge-based schemes on unstructured meshes
   
   Matem. Mod., 32:12 (2020),  114–128
10. Parallel algorithm for flow simulation in rotor-stator systems based on edge-bases schemes
    
    Matem. Mod., 32:6 (2020),  127–140
11. EBR schemes with curvilinear reconstructions for solving two-dimensional external flow problems
    
    Keldysh Institute preprints, 2019, 152, 22 pp.
12. Linear schemes with several degrees of freedom for the multidimensional transport equation
    
    Keldysh Institute preprints, 2019, 074, 44 pp.
13. Linear schemes with several degrees of freedom for the 1D transport equation
    
    Keldysh Institute preprints, 2019, 073, 40 pp.
14. On transformation of the stable matrices to a block-diagonal form
    
    Keldysh Institute preprints, 2019, 071, 15 pp.
15. On spectral analysis of numerical schemes for the linear transport equation
    
    Keldysh Institute preprints, 2019, 070, 28 pp.
16. On gradient calculation in flux correction method
    
    Matem. Mod., 31:5 (2019),  121–144
17. On effective parallel implementation of vertex-centered schemes on sliding meshes
    
    Keldysh Institute preprints, 2018, 277, 16 pp.
18. Edge-based schemes on moving hybrid meshes in the NOISEtte code
    
    Keldysh Institute preprints, 2018, 127, 36 pp.
19. Flow simulation in rotor–stator systems with axisymmetric stator using edge-based schemes
    
    Keldysh Institute preprints, 2018, 124, 16 pp.
20. Unsteady corrector method for accuracy analysis of linear semidiscrete schemes
    
    Keldysh Institute preprints, 2018, 123, 38 pp.
21. Simulation of aerodynamics of a moving body prescribed by immersed boundaries on dynamically adaptative unstructured mesh
    
    Matem. Mod., 30:5 (2018),  57–75
22. Edge-based approximation of the Navier–Stokes equations for axial symmetric flows on unstructured meshes
    
    Keldysh Institute preprints, 2017, 144, 24 pp.
23. Sound wave in an infinite circular cylinder in the presence of viscosity and heat conductivity
    
    Keldysh Institute preprints, 2017, 135, 32 pp.
24. On the long-time simulation accuracy of the discontinuous Galerkin method for 1D transport equation
    
    Keldysh Institute preprints, 2017, 134, 24 pp.
25. On the order of accuracy of edge-based schemes on meshes of a special type
    
    Keldysh Institute preprints, 2017, 079, 32 pp.
26. Implementation of the Flux Correction method on hybrid unstructured meshes
    
    Keldysh Institute preprints, 2017, 038, 28 pp.
27. EBR-WENO scheme for solving gas dynamics problems with discontinuities on unstructured meshes
    
    Keldysh Institute preprints, 2017, 023, 32 pp.
28. Technology of prediction acoustic disturbances in flow far field in rotating framework
    
    Matem. Mod., 29:7 (2017),  94–108
29. Construction of edge-based 1-exact schemes for solving the Euler equations on hybrid unstructured meshes
    
    Zh. Vychisl. Mat. Mat. Fiz., 57:4 (2017),  682–701
30. Unsteady corrector method for accuracy analysis of linear numerical schemes for transport equation
    
    Keldysh Institute preprints, 2016, 140, 32 pp.
31. Unsteady geometric corrector and the error estimate of finite volume method on unstructured meshes
    
    Keldysh Institute preprints, 2016, 122, 28 pp.
32. Numerical estimation of accuracy order for transport equation on meshes of special structure
    
    Keldysh Institute preprints, 2016, 105, 32 pp.
33. Specification of a wave packet using initial data in a round cylindric channel for linear acoustic problems
    
    Keldysh Institute preprints, 2016, 079, 23 pp.
34. Application of the quasi one-dimensional reconstruction scheme to sliding meshes
    
    Matem. Mod., 28:8 (2016),  13–32
35. Cell-centered quasi one-dimensional reconstruction scheme on 3D hybrid meshes
    
    Matem. Mod., 28:3 (2016),  79–95
36. Modification of Flux Corrector method for accuracy improvement on unsteady problems
    
    Keldysh Institute preprints, 2015, 069, 22 pp.
37. Numerical simulation of aerodynamic and acoustic characteristics of rotor in ring
    
    Matem. Mod., 27:10 (2015),  125–144
38. Error structure of conservative 4-point finite-difference scheme on non-uniform meshes
    
    Keldysh Institute preprints, 2014, 074, 32 pp.
39. Efficient formulation for schemes with quasi-one-dimensional reconstruction of variables
    
    Keldysh Institute preprints, 2013, 089, 16 pp.
40. Quasi one-dimensional reconstruction scheme on convex polygonal meshes for solving aeroacoustics problems
    
    Matem. Mod., 25:9 (2013),  95–108
41. Parallel research code NOISEtte for large-scale CFD and CAA simulations
    
    Num. Meth. Prog., 13:3 (2012),  110–125
42. Technology of predicting acoustic disturbances in flow far field
    
    Matem. Mod., 23:11 (2011),  33–47