Carbon/carbon composites are very important compound in our daily life. Pyrocarbon texture has sharp transition phenomenon under extreme heat condition. As the particles react randomly in the phenomenon, Monte Carlo method is embraced to investigate such mechanism based on Langmuir-Hinshelwood (L-H) mechanism of Particle-Filler (P-F) conceptual model. However, the single thread investigating program consumes huge time for simulating the chemical reaction on the hexagonal-mesh surface billion times and the computing cost. In this paper, this paper proposes an approach for accelerating the P-F modeling process with HMSPM (Hexagonal-Mesh Surface Position Map). Such approach can reduce computation complexity from search reaction position randomly. What's more, HMSPM can reduce loops by simulating reaction position parallel with reaction position conflict. To evaluate our accelerating approach, the executing time of serial program and the program with our approach were compared. The result shows that the computational time can shorten 23561%. This paper's accelerating method has the same result of the MT/HT transition phenomenon with formula parameter ‘R’ and ‘a’.