ABSTRACT
A novel numerical technique, called the particle transport method (PTM), is applied in simulation of multicomponent chromatography problems with non-linear isotherms. The method is based on the operator-splitting approach, and combines the Lagrangian method of characteristics and the method of lines. Instead of a moving mesh, a set of numerical points (called particles) which can be interpolated to any fixed grid with a fast monotone projection procedure is used. The technique includes a special spatial adaptivity to simulate the propagation of steep fronts (shock waves) that are often encountered in non-linear chromatography. The application of PTM for solving ideal and nonideal models of chromatography is demonstrated with two-component systems following the competitive Langmuir and Fowler isotherms. The accuracy and calculation time of PTM for various cases are compared with those of classical methods such as OCFEM, MOL and the Rouchon algorithm. The numerical experiments show that the proposed approach exhibits good mass conservation while being a computationally cheap scheme.
Subject(s)
Chromatography/methods , ThermodynamicsABSTRACT
Sepsis is one of the most urgent problems of modern surgery as a steady tendency for the number of patients and mortality rates to increase. Sepsis is the syndrome of a systemic inflammatory response to the invasion of microorganisms. Abdominal sepsis (AS) is inherently a systemic inflammatory response to a focal of infection in the abdomen or retroperitoneal space. Implementation of an individual program for intensive care and anesthetic support is also the same important component of the program for AS treatment as surgery. Intensive care for AS is based on the objective evaluation of the patients' condition, which makes it possible not only to determine the severity of the disease and the degree of organ dysfunction, but also to choose the most adequate intensive care program in terms of a specific clinical situation. The reasonable use of currently available intensive care means and methods substantially reduce mortality rates in patients with AS.
