A self-adaptive domain decomposition for the viscous/inviscid coupling. I. Burgers equation

Journal Article · Wed Mar 31 23:00:00 EST 1993 · Journal of Computational Physics; (United States)

DOI:https://doi.org/10.1006/jcph.1993.1075· OSTI ID:5642839

Arina, R ^[1]; Canuto, C ^[2]

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1. Politecnico di Torino (Italy)
2. Politecnico di Torino (Italy) Instituto di Analisi Numerica del C.N.R., Pavia (Italy)

A new formulation of the viscous/inviscid coupling, termed X-for-mutation, has been applied to the Burgers equation: the equation is modified in such a way that the viscous terms are neglected in dependence of their magnitude. We show that the modified X-equation can be solved on a single domain at a cost comparable to the cost of solving the original equation, despite a nonlinearity being added. Furthermore, we consider a domain decomposition method, based on the X-formulation, by splitting the original problem into an inviscid Burgers equation and a X-viscous Burgers equation. The interface between the subdomains is automatically adjusted by the proposed method, yielding an optimal resolution of the boundary-layer structure. 11 refs., 5 figs., 3 tabs.

• OSTI ID: 5642839
• Journal Information: Journal of Computational Physics; (United States), Journal Name: Journal of Computational Physics; (United States) Vol. 105:2; ISSN JCTPAH; ISSN 0021-9991
• Country of Publication: United States
• Language: English

Related Subjects

42 ENGINEERING
420400* -- Engineering-- Heat Transfer & Fluid Flow
99 GENERAL AND MISCELLANEOUS
990200 -- Mathematics & Computers
COMPUTERIZED SIMULATION
DIFFERENTIAL EQUATIONS
EQUATIONS
FLUID FLOW
IDEAL FLOW
MATHEMATICAL MODELS
MESH GENERATION
NAVIER-STOKES EQUATIONS
NUMERICAL SOLUTION
PARTIAL DIFFERENTIAL EQUATIONS
SIMULATION
VISCOUS FLOW