We construct, analyze and assess various schemes of second order of accuracy in space and time for model advection–diffusion–reaction differential equations. The constructed schemes are meant to be of practical use in solving industrial problems and are derived following two related approaches, namely ADER and MUSCL-Hancock. Detailed analysis of linear stability and local truncation error are carried out. In addition, the schemes are implemented and assessed for various test problems. Empirical convergence rate studies confirm the theoretically expected accuracy in both space and time.
Design and analysis of ADER-type schemes for model advection–diffusion–reaction equations / Busto, S.; Toro, E. F.; Vazquez-Cendon, M. E.. - In: JOURNAL OF COMPUTATIONAL PHYSICS. - ISSN 0021-9991. - 327:(2016), pp. 553-575. [10.1016/j.jcp.2016.09.043]
Design and analysis of ADER-type schemes for model advection–diffusion–reaction equations
Toro E. F.;
2016-01-01
Abstract
We construct, analyze and assess various schemes of second order of accuracy in space and time for model advection–diffusion–reaction differential equations. The constructed schemes are meant to be of practical use in solving industrial problems and are derived following two related approaches, namely ADER and MUSCL-Hancock. Detailed analysis of linear stability and local truncation error are carried out. In addition, the schemes are implemented and assessed for various test problems. Empirical convergence rate studies confirm the theoretically expected accuracy in both space and time.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione
