Authors:
            
                    Anton Baldin
                    
                        
                    
                    ; 
                
                    Kläre Cassirer
                    
                        
                    
                    ; 
                
                    Tanja Clees
                    
                        
                    
                    ; 
                
                    Bernhard Klaassen
                    
                        
                    
                    ; 
                
                    Igor Nikitin
                    
                        
                    
                    ; 
                
                    Lialia Nikitina
                    
                        
                    
                     and
                
                    Inna Torgovitskaia
                    
                        
                    
                    
                
        
        
            Affiliation:
            
                    
                        
                    
                    Fraunhofer Institute for Algorithms and Scientific Computing, Schloss Birlinghoven, 53754 Sankt Augustin and Germany
                
        
        
        
        
        
             Keyword(s):
            Complex Systems Modeling and Simulation, Non-Linear Systems, Applications in Energy Transport.
        
        
            
                Related
                    Ontology
                    Subjects/Areas/Topics:
                
                        Computer Simulation Techniques
                    ; 
                        Formal Methods
                    ; 
                        Non-Linear Systems
                    ; 
                        Performance Analysis
                    ; 
                        Simulation and Modeling
                    ; 
                        Simulation Tools and Platforms
                    
            
        
        
            
                Abstract: 
                The formulation of transport network problems is represented as a translation between two domain specific languages: from a network description language, used by network simulation community, to a problem description language, understood by generic non-linear solvers. A universal algorithm for this translation is developed, an estimation of its computational complexity given, and an efficient application of the algorithm demonstrated on a number of realistic examples. Typically, for a large gas transport network with about 10K elements the translation and solution of non-linear system together require less than 1 sec on the common hardware. The translation procedure incorporates several preprocessing filters, in particular, topological cleaning filters, which accelerate the solution procedure by factor 8.