Towards a generalised lattice Boltzmann method for aerodynamic simulations
Towards a generalised lattice Boltzmann method for aerodynamic simulations
  The conventional lattice Boltzmann method is restricted to Cartesian grids, making it remarkably expensive for capturing thin boundary layers, and therefore impractical for most relevant problems in aerodynamics. In this paper, a finite difference approach is taken to solve the discrete-velocity Boltzmann equation in generalised curvilinear coordinates to perform fluid flow simulations with non-uniform grids. The present method resolves large gradients in wall vicinity with fewer mesh elements, thereby leading to a reduction in computational effort. Two-dimensional flows at low Reynolds number over circular cylinder and NACA0012 aerofoil are specifically investigated to assess accuracy and performance of the proposed approach.
  Curvilinear Coordinates, Finite Difference, Non-Uniform Grids
  
  
  
    
      Reyes Barraza, Juan Antonio
      
        5d754742-de9f-47e5-a5f1-10327f04d437
      
     
  
    
      Deiterding, Ralf
      
        ce02244b-6651-47e3-8325-2c0a0c9c6314
      
     
  
  
   
  
  
    
    
  
    
    
  
    
      1 September 2020
    
    
  
  
    
      Reyes Barraza, Juan Antonio
      
        5d754742-de9f-47e5-a5f1-10327f04d437
      
     
  
    
      Deiterding, Ralf
      
        ce02244b-6651-47e3-8325-2c0a0c9c6314
      
     
  
       
    
 
  
    
      
  
  
  
  
  
  
    Reyes Barraza, Juan Antonio and Deiterding, Ralf
  
  
  
  
   
    (2020)
  
  
    
    Towards a generalised lattice Boltzmann method for aerodynamic simulations.
  
  
  
  
    Journal of Computational Science, 45, [101182].
  
   (doi:10.1016/j.jocs.2020.101182). 
  
  
   
  
  
  
  
  
   
  
    
    
      
        
          Abstract
          The conventional lattice Boltzmann method is restricted to Cartesian grids, making it remarkably expensive for capturing thin boundary layers, and therefore impractical for most relevant problems in aerodynamics. In this paper, a finite difference approach is taken to solve the discrete-velocity Boltzmann equation in generalised curvilinear coordinates to perform fluid flow simulations with non-uniform grids. The present method resolves large gradients in wall vicinity with fewer mesh elements, thereby leading to a reduction in computational effort. Two-dimensional flows at low Reynolds number over circular cylinder and NACA0012 aerofoil are specifically investigated to assess accuracy and performance of the proposed approach.
         
      
      
        
          
            
  
    Text
 paper_v5
     - Accepted Manuscript
   
  
  
    
  
 
          
            
          
            
           
            
           
        
        
       
    
   
  
  
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      Accepted/In Press date: 18 June 2020
 
    
      e-pub ahead of print date: 26 June 2020
 
    
      Published date: 1 September 2020
 
    
  
  
    
  
    
  
    
  
    
  
    
  
    
     
        Keywords:
        Curvilinear Coordinates, Finite Difference, Non-Uniform Grids
      
    
  
    
  
    
  
  
  
    
  
    
  
  
        Identifiers
        Local EPrints ID: 442223
        URI: http://eprints.soton.ac.uk/id/eprint/442223
        
          
        
        
        
          ISSN: 1877-7503
        
        
          PURE UUID: f699e969-a963-48f0-a850-1c3c5844400f
        
  
    
        
          
            
          
        
    
        
          
            
              
            
          
        
    
  
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  Date deposited: 09 Jul 2020 16:31
  Last modified: 17 Mar 2024 05:43
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          Author:
          
            
              
              
                Juan Antonio Reyes Barraza
              
              
            
            
          
        
      
        
      
      
      
    
  
   
  
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