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11 février 2021
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- handle: 10670/1.1ie869
- 35592
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QA1-939Sujets proches
Energy resources Power supply Energy Energy Diffusion equation Heat flow equation Conservation of energy Correlation of forces Energy Pattern Model LBMs (Computational fluid dynamics) Estimates and costCiter ce document
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Lattice Boltzmann methods are a promising approach for the numerical solution of fluid-dynamic problems. We consider the one-dimensional Goldstein-Taylor model with the aim to answer some of the questions concerning the numerical analysis of lattice Boltzmann schemes. Discretizations for the solution of the heat equation are presented for a selection of boundary conditions. Stability and convergence of the solutions are proved by employing energy estimates and explicit Fourier representations.