The dynamic sedimentation of large particles including thermal convection gained the significant attentions in various applications using the Direct Numeral Solution (DNS) methods. The current solutions are mainly focused on isothermal suspended particles without the thermal convection separating dissolved particles and enveloping fluids. The systems beside thermal convection having the lack of sufficient investigations like missing the hot and cold elliptic particle in infinity long channels. In this work, we work on two challenges efficient DSN method designing and simulation of elliptic particle in infinity long channel using proposed DNS. The novel approach presented to study and simulates dynamic behaviour of elliptic particle sedimentation using the different settling modes using the Swarm Intelligent (SI) construct Finite Element Fictitious Boundary Method (FEM-FBM) and validates outcomes effectively. The Particle Swarm Optimization (PSO) used as SI to improve the accuracy and efficiency of FEM-FBM model in this work. The PSO based multi-grid FEM-FBM called PFEM-FBM proposed as Direct Numerical Solution (DNS) to simulate and validate fluid flows with thermal convection. The PFEM-FBM method used to understand the progression, energy, and warmth conditions effectively. The re-enactments utilizing PFEM-FBM led to utilizing the three diverse experiments. In the principal case, the relative investigation of cold, hot, and isothermal elliptic particles with thermal convection introduced. In the resulting situation, the estimation of cold elliptic particle improving in an incomprehensibly long channel with its endorsement presented. In the third case, the examination of hot elliptic particle resolve in an incessantly large channel with its support presented. The completion of the study is validated using the simulation outcomes with recent technique at the end.