Robert Koslover
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                                                Posted:
                            
                                2 years ago                            
                            
                                25.02.2024, 12:21 GMT-5                            
                        
                        Updated:
                            
                                2 years ago                            
                            
                                25.02.2024, 12:23 GMT-5                            
                        
                        
                                                    I'd use a 2D axisymmetric formulation with the electrostatics (es) interface. You say "charged" spheres, but since you also specify a potential, I am going to assume you mean that the spheres are conducting.  Also, bear in mind that this sort of calculation is essentially a textbook problem (well, depending on your textbook). Among others, see: Banerjee Shubho, Peters Thomas, Brown Nolan and Song Yi. 2021. "Exact closed-form and asymptotic expressions for the electrostatic force between two conducting spheres," Proc. R. Soc. A. 4772020086620200866. http://doi.org/10.1098/rspa.2020.0866
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                            I'd use a 2D axisymmetric formulation with the electrostatics (es) interface. You say "charged" spheres, but since you also specify a potential, I am going to assume you mean that the spheres are conducting.  Also, bear in mind that this sort of calculation is essentially a textbook problem (well, depending on your textbook). Among others, see: Banerjee Shubho, Peters Thomas, Brown Nolan and Song Yi. 2021. "Exact closed-form and asymptotic expressions for the electrostatic force between two conducting spheres," Proc. R. Soc. A. 4772020086620200866. http://doi.org/10.1098/rspa.2020.0866