Pith Number

pith:SJQ3BLTY

pith:2026:SJQ3BLTY6CK4GLOBRGHEHSKUUH

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Efficient simulation of chemical reaction in DSMC

Hong Deng, Lei Wu, Liyan Luo

A coupling of macroscopic synthetic equations with DSMC accelerates chemical reaction simulations in near-continuum flows by orders of magnitude.

arxiv:2605.13653 v1 · 2026-05-13 · physics.comp-ph

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Claims

C1strongest claim

This coupling features asymptotic preserving, fast converging and noise reduction properties, supporting efficient, accurate simulations with coarse spatiotemporal grids and reduced evolution/sampling steps. Accordingly, it mitigates major computational bottlenecks of DSMC for near continuum flows by several orders of magnitude.

C2weakest assumption

The higher order constitutive relations and chemical reaction source terms sampled from DSMC can be accurately embedded into the macroscopic synthetic equation to provide correct corrections to the particle distributions without introducing significant errors or instabilities in the coupling process.

C3one line summary

A deterministic-stochastic coupling accelerates DSMC for chemical reactions by solving a macroscopic synthetic equation with DSMC-sampled higher-order terms to intermittently correct particle distributions.

References

43 extracted · 43 resolved · 0 Pith anchors

[1] G. A. Bird, Molecular gas dynamics and the direct simulation of gas ﬂows, Oxford University Press, 1994 1994

[2] C. Borgnakke, P. S. Larsen, Statistical collision model for Monte Carlo simulation of polyatomic gas mixture, Journal of Computational Physics 18 (1975) 405–420 1975

[3] B. L. Hass, I. D. Boyd, Models for direct Monte Carlo simulation of coupled vibration-dissociation, Physics of Fluids A: Fluid Dynamics 5 (1993) 478–489 1993

[4] G. A. Bird, The Q-K model for gas-phase chemical reaction rates, Physics of Fluids 23 (2011) 106101 2011

[5] Q. H. Sun, I. D. Boyd, G. V. Candler, A hybrid continuum/particle approach for modeling subsonic, rareﬁed gas ﬂows, Journal of Computational Physics 194 (1) (2004) 256–277 2004

Receipt and verification

First computed	2026-05-18T02:44:17.433363Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9261b0ae78f095c32dc1898e43c954a1e1312a7eb490f252f18d2c6f7795d87f

Aliases

arxiv: 2605.13653 · arxiv_version: 2605.13653v1 · doi: 10.48550/arxiv.2605.13653 · pith_short_12: SJQ3BLTY6CK4 · pith_short_16: SJQ3BLTY6CK4GLOB · pith_short_8: SJQ3BLTY

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Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/SJQ3BLTY6CK4GLOBRGHEHSKUUH \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: 9261b0ae78f095c32dc1898e43c954a1e1312a7eb490f252f18d2c6f7795d87f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a70c7aeacf7d1e404c77f874a5d39cfd6c3ec2b6df4263d46e7db4adbd49bd24",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "physics.comp-ph",
    "submitted_at": "2026-05-13T15:13:02Z",
    "title_canon_sha256": "4b11e275faab70f83eb602234ef0b4aebe197fa7501d18d80fee1f4f45e6fabc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.13653",
    "kind": "arxiv",
    "version": 1
  }
}