@Article{MancoMend:2019:CoStDi,
               author = "Manco, Jhonatan Andr{\'e}s Aguirre and Mendon{\c{c}}a, 
                         M{\'a}rcio Teixeira",
          affiliation = "{Instituto Nacional de Pesquisas Espaciais (INPE)} and {Instituto 
                         Nacional de Pesquisas Espaciais (INPE)}",
                title = "Comparative study of diferent non\‑refecting boundary 
                         conditions for compressible fows",
              journal = "Journal of the Brazilian Society of Mechanical Sciences and 
                         Engineering",
                 year = "2019",
               volume = "41",
               number = "10",
                pages = "UNSP 411",
                month = "Oct.",
             keywords = "PML, Non-reflecting boundary conditions, High-order numerical 
                         methods, Euler equations, Hydrodynamic stability.",
             abstract = "The numerical simulation of hydrodynamic stability and 
                         aeroacoustic problems requires the use of high-order, 
                         low-dispersion and low-dissipation numerical methods. It also 
                         requires appropriate boundary conditions to avoid reflections of 
                         outgoing waves at the boundaries of the computational domain. 
                         There are many different methods to avoid wave reflection at the 
                         boundaries such as the buffer zone and boundary conditions based 
                         on characteristic equations. This paper considers the use of a 
                         methodology called perfectly matched layer (PML). The PML is 
                         evaluated for the simulation of an acoustic pulse in a uniform 
                         flow and the Kelvin-Helmholtz instability in a mixing layer using 
                         the linear and nonlinear form of the Euler equation. PML results 
                         are compared with other non-reflecting boundary condition methods 
                         in terms of effectiveness and computational cost. The other 
                         non-reflecting boundary conditions implemented were the buffer 
                         zone (BZ), widely used in aeroacoustic and hydrodynamic problems, 
                         and the energy transfer and annihilation (ETA), a very simple 
                         boundary condition to be implemented. The results show that the 
                         PML is an effective boundary condition method, but can be 
                         computationally expensive. The PML is also more complex to 
                         implement and requires careful stability analysis. The other 
                         boundary conditions, the BZ and the ETA, are also effective and 
                         may perform better than the PML depending on the flow conditions. 
                         These two methods have an advantage in terms of robustness and are 
                         much simpler to implement than the PML.",
                  doi = "10.1007/s40430-019-1915-4",
                  url = "http://dx.doi.org/10.1007/s40430-019-1915-4",
                 issn = "1678-5878",
             language = "en",
           targetfile = "Manco_comparative.pdf",
        urlaccessdate = "27 abr. 2024"
}