6533b858fe1ef96bd12b5702

RESEARCH PRODUCT

New Invariant Domain Preserving Finite Volume Schemes for Compressible Flows

Mária Lukáčová-medviďováBangwei SheHana Mizerová

subject

symbols.namesakeEntropy (classical thermodynamics)Finite volume methodSeries (mathematics)Convergence (routing)Euler's formulasymbolsApplied mathematicsLimit (mathematics)Invariant (mathematics)Domain (mathematical analysis)Mathematics

description

We present new invariant domain preserving finite volume schemes for the compressible Euler and Navier–Stokes–Fourier systems. The schemes are entropy stable and preserve positivity of density and internal energy. More importantly, their convergence towards a strong solution of the limit system has been proved rigorously in [9, 11]. We will demonstrate their accuracy and robustness on a series of numerical experiments.

yearjournalcountryeditionlanguage
2021-01-01
https://doi.org/10.1007/978-3-030-72850-2_6