4 papers
On the stability of finite-volume schemes on non-uniform meshes
Pavel Bakhvalov, Mikhail Surnachev
In this paper, we study the L2 stability of high-order finite-volume schemes for the 1D transport equation on non-uniform meshes. We consider the case when a small periodic perturb…
Computation of the solution for the 2D acoustic pulse propagation
Pavel Bakhvalov
We consider the 2D acoustic system with the Gaussian pulse as the initial data. This case was proposed at the first Workshop on benchmark problems in computational aeroacoustics, a…
Convergence rate of the spectral difference method on regular triangular meshes
Pavel Bakhvalov
We consider the spectral difference method based on the p-th order Raviart~-- Thomas space (p=1,2,3) on regular triangular meshes for the scalar transport equation. The solution co…
On the order of accuracy of finite-volume schemes on unstructured meshes
Pavel Bakhvalov, Mikhail Surnachev
We consider finite-volume schemes for linear hyperbolic systems with constant coefficients on unstructured meshes. Under the stability assumption, they exhibit the convergence rate…