Zobrazeno 1 - 10
of 65
pro vyhledávání: '"Barsukow, Wasilij"'
Active flux methods for hyperbolic conservation laws -- flux vector splitting and bound-preservation
The active flux (AF) method is a compact high-order finite volume method that simultaneously evolves cell averages and point values at cell interfaces. Within the method of lines framework, the existing Jacobian splitting-based point value update inc
Externí odkaz:
http://arxiv.org/abs/2411.00065
Instead of ensuring that fluxes across edges add up to zero, we split the edge in two halves and also associate different fluxes to each of its sides. This is possible due to non-standard Riemann solvers with free parameters. We then enforce conserva
Externí odkaz:
http://arxiv.org/abs/2408.13506
This paper studies the active flux (AF) methods for two-dimensional hyperbolic conservation laws, focusing on the flux vector splitting (FVS) for the point value update and bound-preserving (BP) limitings, which is an extension of our previous work [
Externí odkaz:
http://arxiv.org/abs/2407.13380
Numerical methods for hyperbolic PDEs require stabilization. For linear acoustics, divergence-free vector fields should remain stationary, but classical Finite Difference methods add incompatible diffusion that dramatically restricts the set of discr
Externí odkaz:
http://arxiv.org/abs/2407.10579
The active flux (AF) method is a compact high-order finite volume method that evolves cell averages and point values at cell interfaces independently. Within the method of lines framework, the point value can be updated based on Jacobian splitting (J
Externí odkaz:
http://arxiv.org/abs/2405.02447
Autor:
Liu, Yongle, Barsukow, Wasilij
In this paper, we propose an arbitrarily high-order accurate fully well-balanced numerical method for the one-dimensional blood flow model. The developed method is based on a continuous representation of the solution and a natural combination of the
Externí odkaz:
http://arxiv.org/abs/2404.18124
Active Flux is an extension of the Finite Volume method and additionally incorporates point values located at cell boundaries. This gives rise to a globally continuous approximation of the solution. The method is third-order accurate. We demonstrate
Externí odkaz:
http://arxiv.org/abs/2310.00683
Autor:
Barsukow, Wasilij
Several recent all-speed time-explicit numerical methods for the Euler equations on Cartesian grids are presented and their properties assessed experimentally on a complex application. These methods are truly multi-dimensional, i.e. the flux through
Externí odkaz:
http://arxiv.org/abs/2306.02847
Autor:
Barsukow, Wasilij, Borsche, Raul
In this work we develop implicit Active Flux schemes for the scalar advection equation. At every cell interface we approximate the solution by a polynomial in time. This allows to evolve the point values using characteristics and to update the cell a
Externí odkaz:
http://arxiv.org/abs/2303.13318
Autor:
Barsukow, Wasilij
This paper presents a new strategy to deal with the excessive diffusion that standard finite volume methods for compressible Euler equations display in the limit of low Mach number. The strategy can be understood as using centered discretizations for
Externí odkaz:
http://arxiv.org/abs/2301.12423