Browsing NTNU Open by Author "Prebeg, Marin"
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Large time step HLL and HLLC schemes
Prebeg, Marin; Flåtten, Tore Halsne; Müller, Bernhard (Journal article; Peer reviewed, 2018)We present Large Time Step (LTS) extensions of the Harten-Lax-van Leer (HLL) and Harten-Lax-van Leer-Contact (HLLC) schemes. Herein, LTS denotes a class of explicit methods stable for Courant numbers greater than one. The ... -
Large Time Step Methods for Hyperbolic Conservation Laws
Prebeg, Marin (Doctoral theses at NTNU;2017:285, Doctoral thesis, 2017)The HLL (Harten–Lax–van Leer) and HLLC (HLL–Contact) schemes are extended to LTS-HLL(C) schemes. The LTS-HLL-type schemes for scalar conservation laws are defined in the numerical viscosity, flux-difference splitting and ... -
Large Time Step Roe scheme for a common 1D two-fluid model
Prebeg, Marin; Flåtten, Tore; Müller, Bernhard (Journal article; Peer reviewed, 2017)We present the Large Time Step (LTS) extension of the Roe scheme and apply it to a standard two-fluid model. Herein, LTS denotes a class of explicit methods that are not limited by the CFL (Courant–Friedrichs–Lewy) condition, ... -
Numerical viscosity in large time step hll-type schemes
Prebeg, Marin (Journal article; Peer reviewed, 2018)We consider Large Time Step (LTS) methods, i.e., the explicit finite volume methods not limited by the Courant–Friedrichs–Lewy (CFL) condition. The original LTS method (LeVeque in SIAM J Numer Anal 22, 1985) was constructed ...