The adaptive-filtering transport model for prediction and control of pollutant concentration in an urban airshed

Air Pollution Modeling

“…This can be done by considering ak = aCt) as the vector of concentrations of a pollutant at the grid points of a grid dispersion model (Bankoff and Hanzevack, 1975;Melli et aI., 1981) or at the pollutant monitoring points (Sawaragi et aI., 1976) of the study area. The state vector aCt) might also be extended to include some additional adaptive parameters (Bankoff and Hanzevack, 1975), but we will not discuss this extension here.…”

“…This can be done by considering ak = aCt) as the vector of concentrations of a pollutant at the grid points of a grid dispersion model (Bankoff and Hanzevack, 1975;Melli et aI., 1981) or at the pollutant monitoring points (Sawaragi et aI., 1976) of the study area. The state vector aCt) might also be extended to include some additional adaptive parameters (Bankoff and Hanzevack, 1975), but we will not discuss this extension here. Then the transition matrix F becomes either the matrix of the spatial discretization (K-model) of the transport and diffusion equation (Bankoff and Hanzevack, 1975;Melli et aI., 1981) (including time-dependent emission and meteorological inputs) or a multiple regression matrix (Sawaragi et aI., 1976).…”

“…The state vector aCt) might also be extended to include some additional adaptive parameters (Bankoff and Hanzevack, 1975), but we will not discuss this extension here. Then the transition matrix F becomes either the matrix of the spatial discretization (K-model) of the transport and diffusion equation (Bankoff and Hanzevack, 1975;Melli et aI., 1981) (including time-dependent emission and meteorological inputs) or a multiple regression matrix (Sawaragi et aI., 1976). Model inaccuracies and emissions and meteorology input errors are included in the system noise process w(t).…”

Real-time control of sulphur dioxide emissions from an industrial area

“…Anyway, the transformation of Equations (20)- (22) into Equation (23) is a well-known property in numerical calculus literature. However, according to our experience, some lack 'of explanation by Bankoff and Hanzevack (1975) on this formal point has partially limited the acknowledgement of their fundamental contribution.…”

“…Numerical approximation to Equation (14) can be obtained by the method due to Crank and Nicolson (1947) : The effectiveness of algorithm (20)- (22) has already been discussed in detail elsewhere (Runca et al, 1979). In particular, it must be here recalled that there are other fractional step procedures illustrated in the air pollution literature (see, e.g., Shir and Shieh, 1974;Bankoff and Hanzevack, 1975). The basic difference between such procedures and algorithm (20)- (22) is that they treat only the vertical terms by an implicit formulation, while the remaining steps are solved via explicit approach.…”