A MIXED FINITE ELEMENT APPROXIMATION FOR COMPRESSIBLE FLOW OF CONTAMINATION FROM NUCLEAR WASTE IN POROUS MEDIA

Acta mathematica scientia,Series B ›› 1998, Vol. 18 ›› Issue (2): 146-157.

• Articles • Previous Articles Next Articles

A MIXED FINITE ELEMENT APPROXIMATION FOR COMPRESSIBLE FLOW OF CONTAMINATION FROM NUCLEAR WASTE IN POROUS MEDIA

Chou S. H¹, Li Qian²

1. Department of Mathemetics and Statistics, Bowling Green State University, Bowling Green, Ohio 43402-0221, USA;
2. Department of Mathemetics, Shandong Normal University, Jinan 250014, China

Received:1996-03-15 Revised:1996-10-30 Online:1998-06-25 Published:1998-06-25

Abstract

Abstract: A compressible nuclear waste disposal contamination in porous media is modeled by a coupled system of partial differential equations. The approximation of this system using a finite element method for the brine, radionuclides, and heat combined with a mixed finite element method for the pressure and velocity are analyzed. Optimal order error estimates in H¹ and L² are derived. This paper improves upon previously derived estimates in two aspects. Firstly, the error analysis is given with no restriction on the diffusion tensors. That is, it has included the effects of molecular diffusion and dispersion.Secondly, the "complete compressibility" case is considered.

Key words: Mixed finite element, compressible, nuclear waste

Chou S. H, Li Qian. A MIXED FINITE ELEMENT APPROXIMATION FOR COMPRESSIBLE FLOW OF CONTAMINATION FROM NUCLEAR WASTE IN POROUS MEDIA[J].Acta mathematica scientia,Series B, 1998, 18(2): 146-157.

Trendmd

[1]	Qiangchang Ju, Jianjun Xu. LONG TIME EXISTENCE FOR THE NON-ISENTROPIC SLIGHTLY COMPRESSIBLE FLUID MODEL OF KORTEWEG TYPE [J]. Acta mathematica scientia,Series B, 2025, 45(2): 416-445.
[2]	Yirang Yuan, Changfeng Li, Huailing Song, Tongjun Sun. A MIXED FINITE ELEMENT AND UPWIND MIXED FINITE ELEMENT MULTI-STEP METHOD FOR THE THREE-DIMENSIONAL POSITIVE SEMI-DEFINITE DARCY-FORCHHEIMER MISCIBLE DISPLACEMENT PROBLEM [J]. Acta mathematica scientia,Series B, 2025, 45(2): 715-736.
[3]	Houzhi Tang, Shuxing Zhang, Weiyuan Zou. OPTIMAL DECAY RATES FOR THE WEAK SOLUTIONS OF THE FLOCKING PARTICLES COUPLED WITH INCOMPRESSIBLE VISCOUS FLUID MODELS [J]. Acta mathematica scientia,Series B, 2025, 45(2): 659-683.
[4]	Yunkun Chen, Bin Huang, Xiaoding Shi. STABILITY OF THE RAREFACTION WAVE IN THE SINGULAR LIMIT OF A SHARP INTERFACE PROBLEM FOR THE COMPRESSIBLE NAVIER-STOKES/ALLEN-CAHN SYSTEM [J]. Acta mathematica scientia,Series B, 2024, 44(4): 1507-1523.
[5]	Qiangchang Ju, Jiawei Wang. INCOMPRESSIBLE LIMIT OF IDEAL MAGNETOHYDRODYNAMICS IN A DOMAIN WITH BOUNDARIES [J]. Acta mathematica scientia,Series B, 2024, 44(4): 1441-1465.
[6]	Zhong Tan, Xinliang Li, Hui Yang. ENERGY CONSERVATION FOR THE WEAK SOLUTIONS TO THE 3D COMPRESSIBLE NEMATIC LIQUID CRYSTAL FLOW [J]. Acta mathematica scientia,Series B, 2024, 44(3): 851-864.
[7]	Shuang Chen, Shanshan Guo, Qiuju Xu. THE EXISTENCE AND UNIQUENESS OF TIME-PERIODIC SOLUTIONS TO THE NON-ISOTHERMAL MODEL FOR COMPRESSIBLE NEMATIC LIQUID CRYSTALS IN A PERIODIC DOMAIN [J]. Acta mathematica scientia,Series B, 2024, 44(3): 947-972.
[8]	Xiaohui Wang. CONVEXITY OF THE FREE BOUNDARY FOR AN AXISYMMETRIC INCOMPRESSIBLE IMPINGING JET^* [J]. Acta mathematica scientia,Series B, 2024, 44(1): 234-246.
[9]	Yinzheng Sun, Aifang Qu, Hairong Yuan. THE RIEMANN PROBLEM FOR ISENTROPIC COMPRESSIBLE EULER EQUATIONS WITH DISCONTINUOUS FLUX^* [J]. Acta mathematica scientia,Series B, 2024, 44(1): 37-77.
[10]	Jinxia CEN, Stanis law MIGÓRSKI, Emilio VILCHES, Shengda ZENG. TIME PERIODIC SOLUTIONS TO THE EVOLUTIONARY OSEEN MODEL FOR A GENERALIZED NEWTONIAN INCOMPRESSIBLE FLUID^∗ [J]. Acta mathematica scientia,Series B, 2023, 43(4): 1645-1667.
[11]	Haitao WANG, Xiongtao ZHANG. THE REGULARITY AND UNIQUENESS OF A GLOBAL SOLUTION TO THE ISENTROPIC NAVIER-STOKES EQUATION WITH ROUGH INITIAL DATA^∗ [J]. Acta mathematica scientia,Series B, 2023, 43(4): 1675-1716.
[12]	Yuxi Hu, Zhao Wang. THE LOW MACH NUMBER LIMIT FOR ISENTROPIC COMPRESSIBLE NAVIER-STOKES EQUATIONS WITH A REVISED MAXWELL'S LAW^* [J]. Acta mathematica scientia,Series B, 2023, 43(3): 1239-1250.
[13]	Xiaoping Zhai, Xin Zhong. GLOBAL SOLUTIONS TO THE 2D COMPRESSIBLE NAVIER-STOKES EQUATIONS WITH SOME LARGE INITIAL DATA^* [J]. Acta mathematica scientia,Series B, 2023, 43(3): 1251-1274.
[14]	Yangyang, Chu, Yuelong Xiao. VANISHING VISCOSITY LIMIT FOR THE 3D INCOMPRESSIBLE MICROPOLAR EQUATIONS IN A BOUNDED DOMAIN^* [J]. Acta mathematica scientia,Series B, 2023, 43(2): 959-974.
[15]	Zhendong Fang, Ning Jiang. CONVERGENCE FROM THE TWO-SPECIES VLASOV-POISSON-BOLTZMANN SYSTEM TO THE TWO-FLUID INCOMPRESSIBLE NAVIER-STOKES-FOURIER-POISSON SYSTEM WITH OHM'S LAW^* [J]. Acta mathematica scientia,Series B, 2023, 43(2): 777-820.

A MIXED FINITE ELEMENT APPROXIMATION FOR COMPRESSIBLE FLOW OF CONTAMINATION FROM NUCLEAR WASTE IN POROUS MEDIA

PDF (PC)

Abstract

Cite this article

share this article

References

Related Articles 15

Metrics

Comments

Recommended 0